465729504 has 48 divisors (see below), whose sum is σ = 1224502272. Its totient is φ = 154994048.

The previous prime is 465729503. The next prime is 465729521. The reversal of 465729504 is 405927564.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465729503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62017 + ... + 69119.

It is an arithmetic number, because the mean of its divisors is an integer number (25510464).

Almost surely, 2^465729504 is an apocalyptic number.

It is an amenable number.

465729504 is an abundant number, since it is smaller than the sum of its proper divisors (758772768).

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

465729504 is a wasteful number, since it uses less digits than its factorization.

465729504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7799 (or 7791 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 465729504 is about 21580.7669928573. The cubic root of 465729504 is about 775.1360171951.

The spelling of 465729504 in words is "four hundred sixty-five million, seven hundred twenty-nine thousand, five hundred four".