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468871470 = 23353375153
BaseRepresentation
bin11011111100100…
…110100100101110
31012200021010202000
4123330212210232
51430012341340
6114305313130
714422225134
oct3374464456
91180233660
10468871470
11220736091
121110357a6
13761a6552
14463b1754
152b269d30
hex1bf2692e

468871470 has 64 divisors (see below), whose sum is σ = 1254277440. Its totient is φ = 124637184.

The previous prime is 468871423. The next prime is 468871471. The reversal of 468871470 is 74178864.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468871471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88414 + ... + 93566.

It is an arithmetic number, because the mean of its divisors is an integer number (19598085).

Almost surely, 2468871470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468871470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627138720).

468871470 is an abundant number, since it is smaller than the sum of its proper divisors (785405970).

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

468871470 is a wasteful number, since it uses less digits than its factorization.

468871470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5506 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 468871470 is about 21653.4401423885. The cubic root of 468871470 is about 776.8752203435.

The spelling of 468871470 in words is "four hundred sixty-eight million, eight hundred seventy-one thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 337 674 1011 1685 2022 3033 3370 5055 5153 6066 9099 10110 10306 15165 15459 18198 25765 30330 30918 45495 46377 51530 77295 90990 92754 139131 154590 231885 278262 463770 695655 1391310 1736561 3473122 5209683 8682805 10419366 15629049 17365610 26048415 31258098 46887147 52096830 78145245 93774294 156290490 234435735 468871470