465957760 has 128 divisors (see below), whose sum is σ = 1193032800. Its totient is φ = 173408256.

The previous prime is 465957757. The next prime is 465957769. The reversal of 465957760 is 67759564.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465957769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1229251 + ... + 1229629.

Almost surely, 2^465957760 is an apocalyptic number.

465957760 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 465957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596516400).

465957760 is an abundant number, since it is smaller than the sum of its proper divisors (727075040).

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

465957760 is a wasteful number, since it uses less digits than its factorization.

465957760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 49.

The square root of 465957760 is about 21586.0547576439. The cubic root of 465957760 is about 775.2626289933.

The spelling of 465957760 in words is "four hundred sixty-five million, nine hundred fifty-seven thousand, seven hundred sixty".