456036456 has 32 divisors (see below), whose sum is σ = 1189661760. Its totient is φ = 145402752.

The previous prime is 456036439. The next prime is 456036523. The reversal of 456036456 is 654630654.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 412525 + ... + 413628.

It is an arithmetic number, because the mean of its divisors is an integer number (37176930).

Almost surely, 2^456036456 is an apocalyptic number.

456036456 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

456036456 is an abundant number, since it is smaller than the sum of its proper divisors (733625304).

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

456036456 is a wasteful number, since it uses less digits than its factorization.

456036456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826185 (or 826181 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The square root of 456036456 is about 21355.0100913111. The cubic root of 456036456 is about 769.7207375446.

The spelling of 456036456 in words is "four hundred fifty-six million, thirty-six thousand, four hundred fifty-six".