464516256 has 96 divisors (see below), whose sum is σ = 1290219840. Its totient is φ = 145926144.

The previous prime is 464516249. The next prime is 464516309. The reversal of 464516256 is 652615464.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (172800) is a multiple of the sum of its prime divisors (1350).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 424446 + ... + 425538.

It is an arithmetic number, because the mean of its divisors is an integer number (13439790).

Almost surely, 2^464516256 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 464516256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645109920).

464516256 is an abundant number, since it is smaller than the sum of its proper divisors (825703584).

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

464516256 is a wasteful number, since it uses less digits than its factorization.

464516256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1350 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 464516256 is about 21552.6391887397. The cubic root of 464516256 is about 774.4623428682.

The spelling of 464516256 in words is "four hundred sixty-four million, five hundred sixteen thousand, two hundred fifty-six".