456492960 has 576 divisors, whose sum is σ = 2037934080. Its totient is φ = 90224640.

The previous prime is 456492943. The next prime is 456492977. The reversal of 456492960 is 69294654.

456492960 is a `hidden beast` number, since 4 + 564 + 9 + 29 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (456492943) and next prime (456492977).

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 95 ways as a sum of consecutive naturals, for example, 2550151 + ... + 2550329.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2^456492960 is an apocalyptic number.

456492960 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 456492960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018967040).

456492960 is an abundant number, since it is smaller than the sum of its proper divisors (1581441120).

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

456492960 is a wasteful number, since it uses less digits than its factorization.

456492960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 456492960 is about 21365.6958697815. The cubic root of 456492960 is about 769.9774885194.

The spelling of 456492960 in words is "four hundred fifty-six million, four hundred ninety-two thousand, nine hundred sixty".