456455360 has 112 divisors (see below), whose sum is σ = 1137879360. Its totient is φ = 174182400.

The previous prime is 456455359. The next prime is 456455369. The reversal of 456455360 is 63554654.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (456455369) 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, 937037 + ... + 937523.

Almost surely, 2^456455360 is an apocalyptic number.

456455360 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 456455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568939680).

456455360 is an abundant number, since it is smaller than the sum of its proper divisors (681424000).

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

456455360 is a wasteful number, since it uses less digits than its factorization.

456455360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

The square root of 456455360 is about 21364.8159364877. The cubic root of 456455360 is about 769.9563476687.

The spelling of 456455360 in words is "four hundred fifty-six million, four hundred fifty-five thousand, three hundred sixty".