456408057 has 8 divisors (see below), whose sum is σ = 695478976. Its totient is φ = 260804592.

The previous prime is 456408053. The next prime is 456408091. The reversal of 456408057 is 750804654.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 456408057 - 2² = 456408053 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456408053) 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, 10866838 + ... + 10866879.

It is an arithmetic number, because the mean of its divisors is an integer number (86934872).

Almost surely, 2^456408057 is an apocalyptic number.

It is an amenable number.

456408057 is a deficient number, since it is larger than the sum of its proper divisors (239070919).

456408057 is a wasteful number, since it uses less digits than its factorization.

456408057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21733727.

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 456408057 is about 21363.7088774398. The cubic root of 456408057 is about 769.9297495925.

The spelling of 456408057 in words is "four hundred fifty-six million, four hundred eight thousand, fifty-seven".