456168960 has 240 divisors, whose sum is σ = 1702484784. Its totient is φ = 112214016.

The previous prime is 456168931. The next prime is 456168961. The reversal of 456168960 is 69861654.

456168960 is a `hidden beast` number, since 4 + 561 + 6 + 89 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456168961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298759 + ... + 300281.

Almost surely, 2^456168960 is an apocalyptic number.

456168960 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 456168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851242392).

456168960 is an abundant number, since it is smaller than the sum of its proper divisors (1246315824).

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

456168960 is a wasteful number, since it uses less digits than its factorization.

456168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 456168960 is about 21358.1122761353. The cubic root of 456168960 is about 769.7952792461.

The spelling of 456168960 in words is "four hundred fifty-six million, one hundred sixty-eight thousand, nine hundred sixty".