456021160 has 128 divisors (see below), whose sum is σ = 1224253440. Its totient is φ = 149587200.

The previous prime is 456021127. The next prime is 456021179. The reversal of 456021160 is 61120654.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 928515 + ... + 929005.

It is an arithmetic number, because the mean of its divisors is an integer number (9564480).

Almost surely, 2^456021160 is an apocalyptic number.

456021160 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 456021160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612126720).

456021160 is an abundant number, since it is smaller than the sum of its proper divisors (768232280).

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

456021160 is a wasteful number, since it uses less digits than its factorization.

456021160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 456021160 is about 21354.6519522094. The cubic root of 456021160 is about 769.7121316683.

The spelling of 456021160 in words is "four hundred fifty-six million, twenty-one thousand, one hundred sixty".