252918120 has 512 divisors, whose sum is σ = 1045094400. Its totient is φ = 47443968.

The previous prime is 252918109. The next prime is 252918121. The reversal of 252918120 is 21819252.

252918120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (252918121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4772014 + ... + 4772066.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 2^252918120 is an apocalyptic number.

252918120 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 252918120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522547200).

252918120 is an abundant number, since it is smaller than the sum of its proper divisors (792176280).

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

252918120 is a wasteful number, since it uses less digits than its factorization.

252918120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 252918120 is about 15903.3996365557. The cubic root of 252918120 is about 632.4021168446.

It can be divided in two parts, 25291 and 8120, that added together give a triangular number (33411 = T₂₅₈).

The spelling of 252918120 in words is "two hundred fifty-two million, nine hundred eighteen thousand, one hundred twenty".