460815120 has 120 divisors (see below), whose sum is σ = 1614914496. Its totient is φ = 117537024.

The previous prime is 460815101. The next prime is 460815149. The reversal of 460815120 is 21518064.

460815120 is a `hidden beast` number, since 4 + 608 + 1 + 51 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×460815120² = 424701149641228800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2647 + ... + 30473.

Almost surely, 2^460815120 is an apocalyptic number.

460815120 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 460815120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807457248).

460815120 is an abundant number, since it is smaller than the sum of its proper divisors (1154099376).

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

460815120 is a wasteful number, since it uses less digits than its factorization.

460815120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27869 (or 27860 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 460815120 is about 21466.6047618155. The cubic root of 460815120 is about 772.3999556242.

The spelling of 460815120 in words is "four hundred sixty million, eight hundred fifteen thousand, one hundred twenty".