456096960 has 224 divisors, whose sum is σ = 1755648000. Its totient is φ = 110545920.

The previous prime is 456096929. The next prime is 456096973. The reversal of 456096960 is 69690654.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92641 + ... + 97439.

Almost surely, 2^456096960 is an apocalyptic number.

456096960 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 456096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877824000).

456096960 is an abundant number, since it is smaller than the sum of its proper divisors (1299551040).

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

456096960 is a wasteful number, since it uses less digits than its factorization.

456096960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4836 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 456096960 is about 21356.4266673992. The cubic root of 456096960 is about 769.7547765806.

The spelling of 456096960 in words is "four hundred fifty-six million, ninety-six thousand, nine hundred sixty".