465005696 has 64 divisors (see below), whose sum is σ = 989236800. Its totient is φ = 217082880.

The previous prime is 465005659. The next prime is 465005701. The reversal of 465005696 is 696500564.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171326 + ... + 174018.

It is an arithmetic number, because the mean of its divisors is an integer number (15456825).

Almost surely, 2^465005696 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 465005696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494618400).

465005696 is an abundant number, since it is smaller than the sum of its proper divisors (524231104).

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

465005696 is a wasteful number, since it uses less digits than its factorization.

465005696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The square root of 465005696 is about 21563.9907252809. The cubic root of 465005696 is about 774.7342528331.

The spelling of 465005696 in words is "four hundred sixty-five million, five thousand, six hundred ninety-six".