252617280 has 224 divisors, whose sum is σ = 887480064. Its totient is φ = 60555264.

The previous prime is 252617251. The next prime is 252617311. The reversal of 252617280 is 82716252.

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 31 ways as a sum of consecutive naturals, for example, 375024 + ... + 375696.

Almost surely, 2^252617280 is an apocalyptic number.

252617280 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 252617280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443740032).

252617280 is an abundant number, since it is smaller than the sum of its proper divisors (634862784).

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

252617280 is a wasteful number, since it uses less digits than its factorization.

252617280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 252617280 is about 15893.9384672271. The cubic root of 252617280 is about 632.1512750095.

It can be divided in two parts, 2526172 and 80, that added together give a palindrome (2526252).

The spelling of 252617280 in words is "two hundred fifty-two million, six hundred seventeen thousand, two hundred eighty".