456402315 has 32 divisors (see below), whose sum is σ = 774398016. Its totient is φ = 228741120.

The previous prime is 456402299. The next prime is 456402337. The reversal of 456402315 is 513204654.

It is not a de Polignac number, because 456402315 - 2⁴ = 456402299 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259479 + ... + 261231.

It is an arithmetic number, because the mean of its divisors is an integer number (24199938).

Almost surely, 2^456402315 is an apocalyptic number.

456402315 is a deficient number, since it is larger than the sum of its proper divisors (317995701).

456402315 is a wasteful number, since it uses less digits than its factorization.

456402315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 456402315 is about 21363.5744902392. The cubic root of 456402315 is about 769.9265207895.

Adding to 456402315 its reverse (513204654), we get a palindrome (969606969).

The spelling of 456402315 in words is "four hundred fifty-six million, four hundred two thousand, three hundred fifteen".