452284560 has 600 divisors, whose sum is σ = 1976927040. Its totient is φ = 93809664.

The previous prime is 452284543. The next prime is 452284589. The reversal of 452284560 is 65482254.

It is a happy number.

452284560 is a `hidden beast` number, since 4 + 522 + 84 + 56 + 0 = 666.

It is a super-2 number, since 2×452284560² = 409122646428787200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 7665811 + ... + 7665869.

Almost surely, 2^452284560 is an apocalyptic number.

452284560 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 452284560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988463520).

452284560 is an abundant number, since it is smaller than the sum of its proper divisors (1524642480).

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

452284560 is a wasteful number, since it uses less digits than its factorization.

452284560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 452284560 is about 21266.9828607633. The cubic root of 452284560 is about 767.6040439398.

The spelling of 452284560 in words is "four hundred fifty-two million, two hundred eighty-four thousand, five hundred sixty".