252120960 has 576 divisors, whose sum is σ = 1106520480. Its totient is φ = 51757056.

The previous prime is 252120941. The next prime is 252120961. The reversal of 252120960 is 69021252.

252120960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252120961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6814062 + ... + 6814098.

Almost surely, 2^252120960 is an apocalyptic number.

252120960 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 252120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553260240).

252120960 is an abundant number, since it is smaller than the sum of its proper divisors (854399520).

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

252120960 is a wasteful number, since it uses less digits than its factorization.

252120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 252120960 is about 15878.3172911993. The cubic root of 252120960 is about 631.7370053536.

The spelling of 252120960 in words is "two hundred fifty-two million, one hundred twenty thousand, nine hundred sixty".