452496960 has 168 divisors, whose sum is σ = 1583375040. Its totient is φ = 118576128.

The previous prime is 452496959. The next prime is 452496971. The reversal of 452496960 is 69694254.

452496960 is a `hidden beast` number, since 4 + 524 + 9 + 69 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168589 + ... + 171251.

Almost surely, 2^452496960 is an apocalyptic number.

452496960 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 452496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791687520).

452496960 is an abundant number, since it is smaller than the sum of its proper divisors (1130878080).

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

452496960 is a wasteful number, since it uses less digits than its factorization.

452496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2732 counting only the distinct ones).

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

The square root of 452496960 is about 21271.9759307874. The cubic root of 452496960 is about 767.7241848113.

The spelling of 452496960 in words is "four hundred fifty-two million, four hundred ninety-six thousand, nine hundred sixty".