456183825 has 48 divisors (see below), whose sum is σ = 801228480. Its totient is φ = 228372480.

The previous prime is 456183809. The next prime is 456183851. The reversal of 456183825 is 528381654.

It is not a de Polignac number, because 456183825 - 2⁴ = 456183809 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159609 + ... + 162441.

It is an arithmetic number, because the mean of its divisors is an integer number (16692260).

Almost surely, 2^456183825 is an apocalyptic number.

It is an amenable number.

456183825 is a deficient number, since it is larger than the sum of its proper divisors (345044655).

456183825 is a wasteful number, since it uses less digits than its factorization.

456183825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2973 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 456183825 is about 21358.4602675380. The cubic root of 456183825 is about 769.8036408282.

The spelling of 456183825 in words is "four hundred fifty-six million, one hundred eighty-three thousand, eight hundred twenty-five".