456053160 has 32 divisors (see below), whose sum is σ = 1368159840. Its totient is φ = 121614144.

The previous prime is 456053149. The next prime is 456053161. The reversal of 456053160 is 61350654.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (456053161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1900102 + ... + 1900341.

It is an arithmetic number, because the mean of its divisors is an integer number (42754995).

Almost surely, 2^456053160 is an apocalyptic number.

456053160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456053160 is an abundant number, since it is smaller than the sum of its proper divisors (912106680).

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

456053160 is a wasteful number, since it uses less digits than its factorization.

456053160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800457 (or 3800453 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 456053160 is about 21355.4011903312. The cubic root of 456053160 is about 769.7301353739.

The spelling of 456053160 in words is "four hundred fifty-six million, fifty-three thousand, one hundred sixty".