252887910 has 128 divisors (see below), whose sum is σ = 711037440. Its totient is φ = 56908800.

The previous prime is 252887909. The next prime is 252887911. The reversal of 252887910 is 19788252.

252887910 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252887909) and next prime (252887911).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252887911) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 331930 + ... + 332690.

It is an arithmetic number, because the mean of its divisors is an integer number (5554980).

Almost surely, 2^252887910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252887910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355518720).

252887910 is an abundant number, since it is smaller than the sum of its proper divisors (458149530).

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

252887910 is a wasteful number, since it uses less digits than its factorization.

252887910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854.

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 252887910 is about 15902.4498112712. The cubic root of 252887910 is about 632.3769365891.

The spelling of 252887910 in words is "two hundred fifty-two million, eight hundred eighty-seven thousand, nine hundred ten".