252259840 has 120 divisors (see below), whose sum is σ = 703930392. Its totient is φ = 86446080.

The previous prime is 252259829. The next prime is 252259853. The reversal of 252259840 is 48952252.

It is a self number, because there is not a number n which added to its sum of digits gives 252259840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124435 + ... + 126445.

Almost surely, 2^252259840 is an apocalyptic number.

252259840 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 252259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351965196).

252259840 is an abundant number, since it is smaller than the sum of its proper divisors (451670552).

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

252259840 is an equidigital number, since it uses as much as digits as its factorization.

252259840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 252259840 is about 15882.6899484942. The cubic root of 252259840 is about 631.8529808105.

The spelling of 252259840 in words is "two hundred fifty-two million, two hundred fifty-nine thousand, eight hundred forty".