465080880 has 160 divisors (see below), whose sum is σ = 1587755520. Its totient is φ = 111677440.

The previous prime is 465080867. The next prime is 465080881. The reversal of 465080880 is 88080564.

It is not an unprimeable number, because it can be changed into a prime (465080881) by changing a digit.

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, 297541 + ... + 299099.

It is an arithmetic number, because the mean of its divisors is an integer number (9923472).

Almost surely, 2^465080880 is an apocalyptic number.

465080880 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 465080880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793877760).

465080880 is an abundant number, since it is smaller than the sum of its proper divisors (1122674640).

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

465080880 is a wasteful number, since it uses less digits than its factorization.

465080880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 465080880 is about 21565.7339314015. The cubic root of 465080880 is about 774.7760046379.

The spelling of 465080880 in words is "four hundred sixty-five million, eighty thousand, eight hundred eighty".