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466233460 = 2257112313163
BaseRepresentation
bin11011110010100…
…010100001110100
31012111022010001221
4123302202201310
51423323432320
6114133000124
714360630140
oct3362424164
91174263057
10466233460
1121a1a4110
12110183044
13757918b4
1445cc6220
152ade83aa
hex1bca2874

466233460 has 96 divisors (see below), whose sum is σ = 1273853952. Its totient is φ = 138990720.

The previous prime is 466233433. The next prime is 466233461. The reversal of 466233460 is 64332664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466233461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28839 + ... + 42001.

It is an arithmetic number, because the mean of its divisors is an integer number (13269312).

Almost surely, 2466233460 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 466233460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636926976).

466233460 is an abundant number, since it is smaller than the sum of its proper divisors (807620492).

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

466233460 is a wasteful number, since it uses less digits than its factorization.

466233460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13213 (or 13211 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

The square root of 466233460 is about 21592.4398806619. The cubic root of 466233460 is about 775.4155024821.

The spelling of 466233460 in words is "four hundred sixty-six million, two hundred thirty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 23 28 35 44 46 55 70 77 92 110 115 140 154 161 220 230 253 308 322 385 460 506 644 770 805 1012 1265 1540 1610 1771 2530 3220 3542 5060 7084 8855 13163 17710 26326 35420 52652 65815 92141 131630 144793 184282 263260 289586 302749 368564 460705 579172 605498 723965 921410 1013551 1210996 1447930 1513745 1842820 2027102 2119243 2895860 3027490 3330239 4054204 4238486 5067755 6054980 6660478 8476972 10135510 10596215 13320956 16651195 20271020 21192430 23311673 33302390 42384860 46623346 66604780 93246692 116558365 233116730 466233460