456057 has 32 divisors (see below), whose sum is σ = 819200. Its totient is φ = 244944.

The previous prime is 456047. The next prime is 456061. The reversal of 456057 is 750654.

It is not a de Polignac number, because 456057 - 2⁶ = 455993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

456057 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 456057.

It is not an unprimeable number, because it can be changed into a prime (456007) 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, 3528 + ... + 3654.

It is an arithmetic number, because the mean of its divisors is an integer number (25600).

2⁴⁵⁶⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

456057 is a deficient number, since it is larger than the sum of its proper divisors (363143).

456057 is a wasteful number, since it uses less digits than its factorization.

456057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 456057 is about 675.3199241841. The cubic root of 456057 is about 76.9732295762.

The spelling of 456057 in words is "four hundred fifty-six thousand, fifty-seven".