465740496 has 160 divisors (see below), whose sum is σ = 1453240320. Its totient is φ = 141958656.

The previous prime is 465740479. The next prime is 465740503. The reversal of 465740496 is 694047564.

It is a super-2 number, since 2×465740496² = 433828419228652032, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 712906 + ... + 713558.

It is an arithmetic number, because the mean of its divisors is an integer number (9082752).

Almost surely, 2^465740496 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 465740496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726620160).

465740496 is an abundant number, since it is smaller than the sum of its proper divisors (987499824).

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

465740496 is a wasteful number, since it uses less digits than its factorization.

465740496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 465740496 is about 21581.0216625627. The cubic root of 465740496 is about 775.1421153186.

The spelling of 465740496 in words is "four hundred sixty-five million, seven hundred forty thousand, four hundred ninety-six".