252860160 has 288 divisors, whose sum is σ = 965422080. Its totient is φ = 55148544.

The previous prime is 252860147. The next prime is 252860173. The reversal of 252860160 is 61068252.

It is an interprime number because it is at equal distance from previous prime (252860147) and next prime (252860173).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 618036 + ... + 618444.

It is an arithmetic number, because the mean of its divisors is an integer number (3352160).

Almost surely, 2^252860160 is an apocalyptic number.

252860160 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 252860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482711040).

252860160 is an abundant number, since it is smaller than the sum of its proper divisors (712561920).

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

252860160 is a wasteful number, since it uses less digits than its factorization.

252860160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 252860160 is about 15901.5772802575. The cubic root of 252860160 is about 632.3538049944.

The spelling of 252860160 in words is "two hundred fifty-two million, eight hundred sixty thousand, one hundred sixty".