465813504 has 240 divisors, whose sum is σ = 1504660640. Its totient is φ = 143327232.

The previous prime is 465813487. The next prime is 465813527. The reversal of 465813504 is 405318564.

It is a happy number.

465813504 is a `hidden beast` number, since 46 + 581 + 35 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

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, 35831802 + ... + 35831814.

Almost surely, 2^465813504 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 465813504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752330320).

465813504 is an abundant number, since it is smaller than the sum of its proper divisors (1038847136).

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

465813504 is an frugal number, since it uses more digits than its factorization.

465813504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 465813504 is about 21582.7130824649. The cubic root of 465813504 is about 775.1826161406.

The spelling of 465813504 in words is "four hundred sixty-five million, eight hundred thirteen thousand, five hundred four".