456561868 has 48 divisors (see below), whose sum is σ = 1003000320. Its totient is φ = 177306624.

The previous prime is 456561863. The next prime is 456561899. The reversal of 456561868 is 868165654.

It is not an unprimeable number, because it can be changed into a prime (456561863) 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, 6421 + ... + 30892.

It is an arithmetic number, because the mean of its divisors is an integer number (20895840).

Almost surely, 2^456561868 is an apocalyptic number.

It is an amenable number.

456561868 is an abundant number, since it is smaller than the sum of its proper divisors (546438452).

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

456561868 is a wasteful number, since it uses less digits than its factorization.

456561868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37366 (or 37364 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 49.

The square root of 456561868 is about 21367.3083938993. The cubic root of 456561868 is about 770.0162294887.

It can be divided in two parts, 45656 and 1868, that added together give a square (47524 = 218²).

The spelling of 456561868 in words is "four hundred fifty-six million, five hundred sixty-one thousand, eight hundred sixty-eight".