464005856 has 48 divisors (see below), whose sum is σ = 947289168. Its totient is φ = 223564800.

The previous prime is 464005849. The next prime is 464005873. The reversal of 464005856 is 658500464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106766 + ... + 111026.

It is an arithmetic number, because the mean of its divisors is an integer number (19735191).

Almost surely, 2^464005856 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 464005856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473644584).

464005856 is an abundant number, since it is smaller than the sum of its proper divisors (483283312).

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

464005856 is a wasteful number, since it uses less digits than its factorization.

464005856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 464005856 is about 21540.7951570967. The cubic root of 464005856 is about 774.1785849874.

The spelling of 464005856 in words is "four hundred sixty-four million, five thousand, eight hundred fifty-six".