456759490 has 32 divisors (see below), whose sum is σ = 898413120. Its totient is φ = 165816000.

The previous prime is 456759463. The next prime is 456759493. The reversal of 456759490 is 94957654.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (456759493) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69340 + ... + 75640.

It is an arithmetic number, because the mean of its divisors is an integer number (28075410).

Almost surely, 2^456759490 is an apocalyptic number.

456759490 is a deficient number, since it is larger than the sum of its proper divisors (441653630).

456759490 is a wasteful number, since it uses less digits than its factorization.

456759490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6978.

The product of its (nonzero) digits is 1360800, while the sum is 49.

The square root of 456759490 is about 21371.9322944838. The cubic root of 456759490 is about 770.1273135187.

The spelling of 456759490 in words is "four hundred fifty-six million, seven hundred fifty-nine thousand, four hundred ninety".