456506057 has 8 divisors (see below), whose sum is σ = 525530496. Its totient is φ = 388433952.

The previous prime is 456506021. The next prime is 456506077. The reversal of 456506057 is 750605654.

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

It is a cyclic number.

It is not a de Polignac number, because 456506057 - 2⁶ = 456505993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 456506057.

It is not an unprimeable number, because it can be changed into a prime (456506077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237053 + ... + 238970.

It is an arithmetic number, because the mean of its divisors is an integer number (65691312).

Almost surely, 2^456506057 is an apocalyptic number.

It is an amenable number.

456506057 is a deficient number, since it is larger than the sum of its proper divisors (69024439).

456506057 is a wasteful number, since it uses less digits than its factorization.

456506057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476167.

The product of its (nonzero) digits is 126000, while the sum is 38.

The square root of 456506057 is about 21366.0023635682. The cubic root of 456506057 is about 769.9848521223.

The spelling of 456506057 in words is "four hundred fifty-six million, five hundred six thousand, fifty-seven".