465935456 has 96 divisors (see below), whose sum is σ = 1146120192. Its totient is φ = 181831680.

The previous prime is 465935417. The next prime is 465935479. The reversal of 465935456 is 654539564.

It is a self number, because there is not a number n which added to its sum of digits gives 465935456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116075 + ... + 120021.

It is an arithmetic number, because the mean of its divisors is an integer number (11938752).

Almost surely, 2^465935456 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 465935456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573060096).

465935456 is an abundant number, since it is smaller than the sum of its proper divisors (680184736).

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

465935456 is a wasteful number, since it uses less digits than its factorization.

465935456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4012 (or 4004 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 47.

The square root of 465935456 is about 21585.5381216221. The cubic root of 465935456 is about 775.2502589639.

The spelling of 465935456 in words is "four hundred sixty-five million, nine hundred thirty-five thousand, four hundred fifty-six".