252380880 has 160 divisors (see below), whose sum is σ = 874408320. Its totient is φ = 66908160.

The previous prime is 252380873. The next prime is 252380897. The reversal of 252380880 is 88083252.

252380880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252380880² = 127392217179148800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 714784 + ... + 715136.

It is an arithmetic number, because the mean of its divisors is an integer number (5465052).

Almost surely, 2^252380880 is an apocalyptic number.

252380880 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 252380880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437204160).

252380880 is an abundant number, since it is smaller than the sum of its proper divisors (622027440).

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

252380880 is a wasteful number, since it uses less digits than its factorization.

252380880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 252380880 is about 15886.4999291852. The cubic root of 252380880 is about 631.9540237878.

The spelling of 252380880 in words is "two hundred fifty-two million, three hundred eighty thousand, eight hundred eighty".