252234560 has 112 divisors (see below), whose sum is σ = 642128256. Its totient is φ = 94144512.

The previous prime is 252234539. The next prime is 252234581. The reversal of 252234560 is 65432252.

It is an interprime number because it is at equal distance from previous prime (252234539) and next prime (252234581).

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 15 ways as a sum of consecutive naturals, for example, 316082 + ... + 316878.

It is an arithmetic number, because the mean of its divisors is an integer number (5733288).

Almost surely, 2^252234560 is an apocalyptic number.

252234560 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 252234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321064128).

252234560 is an abundant number, since it is smaller than the sum of its proper divisors (389893696).

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

252234560 is a wasteful number, since it uses less digits than its factorization.

252234560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 252234560 is about 15881.8940935897. The cubic root of 252234560 is about 631.8318732402.

The spelling of 252234560 in words is "two hundred fifty-two million, two hundred thirty-four thousand, five hundred sixty".