252564480 has 528 divisors, whose sum is σ = 1072955520. Its totient is φ = 55738368.

The previous prime is 252564439. The next prime is 252564497. The reversal of 252564480 is 84465252.

It is a happy number.

252564480 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 644 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8709106 + ... + 8709134.

Almost surely, 2^252564480 is an apocalyptic number.

252564480 is a gapful number since it is divisible by the number (20) 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 252564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536477760).

252564480 is an abundant number, since it is smaller than the sum of its proper divisors (820391040).

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

252564480 is an equidigital number, since it uses as much as digits as its factorization.

252564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 46 counting only the distinct ones).

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

The square root of 252564480 is about 15892.2773698422. The cubic root of 252564480 is about 632.1072295758.

The spelling of 252564480 in words is "two hundred fifty-two million, five hundred sixty-four thousand, four hundred eighty".