252550440 has 128 divisors (see below), whose sum is σ = 845424000. Its totient is φ = 67060224.

The previous prime is 252550429. The next prime is 252550469. The reversal of 252550440 is 44055252.

252550440 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 (27).

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, 409012 + ... + 409628.

It is an arithmetic number, because the mean of its divisors is an integer number (6604875).

Almost surely, 2^252550440 is an apocalyptic number.

252550440 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 252550440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422712000).

252550440 is an abundant number, since it is smaller than the sum of its proper divisors (592873560).

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

252550440 is a wasteful number, since it uses less digits than its factorization.

252550440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 252550440 is about 15891.8356397239. The cubic root of 252550440 is about 632.0955164613.

The spelling of 252550440 in words is "two hundred fifty-two million, five hundred fifty thousand, four hundred forty".