252832320 has 224 divisors, whose sum is σ = 960973440. Its totient is φ = 62208000.

The previous prime is 252832319. The next prime is 252832331. The reversal of 252832320 is 23238252.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111195 + ... + 113445.

It is an arithmetic number, because the mean of its divisors is an integer number (4290060).

Almost surely, 2^252832320 is an apocalyptic number.

252832320 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 252832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480486720).

252832320 is an abundant number, since it is smaller than the sum of its proper divisors (708141120).

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

252832320 is a wasteful number, since it uses less digits than its factorization.

252832320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 252832320 is about 15900.7018713012. The cubic root of 252832320 is about 632.3305966777.

The spelling of 252832320 in words is "two hundred fifty-two million, eight hundred thirty-two thousand, three hundred twenty".