456681568 has 72 divisors (see below), whose sum is σ = 1101000600. Its totient is φ = 185407488.

The previous prime is 456681559. The next prime is 456681611. The reversal of 456681568 is 865186654.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22128 + ... + 37456.

It is an arithmetic number, because the mean of its divisors is an integer number (15291675).

Almost surely, 2^456681568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456681568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550500300).

456681568 is an abundant number, since it is smaller than the sum of its proper divisors (644319032).

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

456681568 is a wasteful number, since it uses less digits than its factorization.

456681568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15372 (or 15357 counting only the distinct ones).

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

The square root of 456681568 is about 21370.1092182516. The cubic root of 456681568 is about 770.0835171119.

The spelling of 456681568 in words is "four hundred fifty-six million, six hundred eighty-one thousand, five hundred sixty-eight".