465724160 has 216 divisors, whose sum is σ = 1278791808. Its totient is φ = 162201600.

The previous prime is 465724157. The next prime is 465724177. The reversal of 465724160 is 61427564.

It is a self number, because there is not a number n which added to its sum of digits gives 465724160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4801232 + ... + 4801328.

Almost surely, 2^465724160 is an apocalyptic number.

465724160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639395904).

465724160 is an abundant number, since it is smaller than the sum of its proper divisors (813067648).

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

465724160 is a wasteful number, since it uses less digits than its factorization.

465724160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 465724160 is about 21580.6431785524. The cubic root of 465724160 is about 775.1330524250.

The spelling of 465724160 in words is "four hundred sixty-five million, seven hundred twenty-four thousand, one hundred sixty".