456978360 has 96 divisors (see below), whose sum is σ = 1456432560. Its totient is φ = 114683904.

The previous prime is 456978359. The next prime is 456978373. The reversal of 456978360 is 63879654.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28092 + ... + 41268.

Almost surely, 2^456978360 is an apocalyptic number.

456978360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456978360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728216280).

456978360 is an abundant number, since it is smaller than the sum of its proper divisors (999454200).

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

456978360 is a wasteful number, since it uses less digits than its factorization.

456978360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13225 (or 13204 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 456978360 is about 21377.0521821883. The cubic root of 456978360 is about 770.2503037377.

The spelling of 456978360 in words is "four hundred fifty-six million, nine hundred seventy-eight thousand, three hundred sixty".