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960465480 = 2335132632341
BaseRepresentation
bin111001001111111…
…000101001001000
32110221021200221120
4321033320221020
53431334343410
6235150035240
732541551622
oct7117705110
92427250846
10960465480
11453180a27
122297a8b20
13123ca7490
14917b9c12
15594c2570
hex393f8a48

960465480 has 128 divisors (see below), whose sum is σ = 3116171520. Its totient is φ = 235422720.

The previous prime is 960465469. The next prime is 960465503. The reversal of 960465480 is 84564069.

960465480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409110 + ... + 411450.

It is an arithmetic number, because the mean of its divisors is an integer number (24345090).

Almost surely, 2960465480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 960465480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558085760).

960465480 is an abundant number, since it is smaller than the sum of its proper divisors (2155706040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

960465480 is a wasteful number, since it uses less digits than its factorization.

960465480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 960465480 is about 30991.3775105270. The cubic root of 960465480 is about 986.6442445801.

The spelling of 960465480 in words is "nine hundred sixty million, four hundred sixty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 263 312 390 520 526 780 789 1052 1315 1560 1578 2104 2341 2630 3156 3419 3945 4682 5260 6312 6838 7023 7890 9364 10257 10520 11705 13676 14046 15780 17095 18728 20514 23410 27352 28092 30433 31560 34190 35115 41028 46820 51285 56184 60866 68380 70230 82056 91299 93640 102570 121732 136760 140460 152165 182598 205140 243464 280920 304330 365196 410280 456495 608660 615683 730392 912990 1217320 1231366 1825980 1847049 2462732 3078415 3651960 3694098 4925464 6156830 7388196 8003879 9235245 12313660 14776392 16007758 18470490 24011637 24627320 32015516 36940980 40019395 48023274 64031032 73881960 80038790 96046548 120058185 160077580 192093096 240116370 320155160 480232740 960465480