456091656 has 64 divisors (see below), whose sum is σ = 1252454400. Its totient is φ = 137763648.

The previous prime is 456091609. The next prime is 456091661. The reversal of 456091656 is 656190654.

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, 11256 + ... + 32231.

It is an arithmetic number, because the mean of its divisors is an integer number (19569600).

Almost surely, 2^456091656 is an apocalyptic number.

456091656 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

456091656 is an abundant number, since it is smaller than the sum of its proper divisors (796362744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456091656 is a wasteful number, since it uses less digits than its factorization.

456091656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43538 (or 43534 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 456091656 is about 21356.3024889610. The cubic root of 456091656 is about 769.7517927157.

The spelling of 456091656 in words is "four hundred fifty-six million, ninety-one thousand, six hundred fifty-six".