464512356 has 216 divisors, whose sum is σ = 1532696256. Its totient is φ = 117210240.

The previous prime is 464512333. The next prime is 464512379. The reversal of 464512356 is 653215464.

464512356 is a `hidden beast` number, since 4 + 645 + 1 + 2 + 3 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (464512333) and next prime (464512379).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 464512356.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 717625 + ... + 718271.

It is an arithmetic number, because the mean of its divisors is an integer number (7095816).

Almost surely, 2^464512356 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 464512356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766348128).

464512356 is an abundant number, since it is smaller than the sum of its proper divisors (1068183900).

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

464512356 is a wasteful number, since it uses less digits than its factorization.

464512356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 707 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 464512356 is about 21552.5487123913. The cubic root of 464512356 is about 774.4601754438.

The spelling of 464512356 in words is "four hundred sixty-four million, five hundred twelve thousand, three hundred fifty-six".