57456905 has 16 divisors (see below), whose sum is σ = 75394368. Its totient is φ = 41688000.

The previous prime is 57456871. The next prime is 57456941. The reversal of 57456905 is 50965475.

57456905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57456905 - 2⁸ = 57456649 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28790 + ... + 30720.

It is an arithmetic number, because the mean of its divisors is an integer number (4712148).

Almost surely, 2^57456905 is an apocalyptic number.

57456905 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

57456905 is a deficient number, since it is larger than the sum of its proper divisors (17937463).

57456905 is a wasteful number, since it uses less digits than its factorization.

57456905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488.

The product of its (nonzero) digits is 189000, while the sum is 41.

The square root of 57456905 is about 7580.0333112725. The cubic root of 57456905 is about 385.8756814611.

The spelling of 57456905 in words is "fifty-seven million, four hundred fifty-six thousand, nine hundred five".