252533880 has 96 divisors (see below), whose sum is σ = 842961600. Its totient is φ = 65518848.

The previous prime is 252533837. The next prime is 252533899. The reversal of 252533880 is 88335252.

252533880 is a `hidden beast` number, since 25 + 253 + 388 + 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3841 + ... + 22799.

It is an arithmetic number, because the mean of its divisors is an integer number (8780850).

Almost surely, 2^252533880 is an apocalyptic number.

252533880 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 252533880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421480800).

252533880 is an abundant number, since it is smaller than the sum of its proper divisors (590427720).

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

252533880 is a wasteful number, since it uses less digits than its factorization.

252533880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19013 (or 19006 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 252533880 is about 15891.3146089303. The cubic root of 252533880 is about 632.0817004351.

The spelling of 252533880 in words is "two hundred fifty-two million, five hundred thirty-three thousand, eight hundred eighty".