252546336 has 240 divisors, whose sum is σ = 878169600. Its totient is φ = 69672960.

The previous prime is 252546289. The next prime is 252546337. The reversal of 252546336 is 633645252.

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

It is a self number, because there is not a number n which added to its sum of digits gives 252546336.

It is not an unprimeable number, because it can be changed into a prime (252546337) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 562240 + ... + 562688.

It is an arithmetic number, because the mean of its divisors is an integer number (3659040).

Almost surely, 2^252546336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252546336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439084800).

252546336 is an abundant number, since it is smaller than the sum of its proper divisors (625623264).

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

252546336 is a wasteful number, since it uses less digits than its factorization.

252546336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 492 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 252546336 is about 15891.7065162933. The cubic root of 252546336 is about 632.0920925459.

The spelling of 252546336 in words is "two hundred fifty-two million, five hundred forty-six thousand, three hundred thirty-six".