252352540 has 96 divisors (see below), whose sum is σ = 600239808. Its totient is φ = 88320000.

The previous prime is 252352523. The next prime is 252352561. The reversal of 252352540 is 45253252.

It is a junction number, because it is equal to n+sod(n) for n = 252352499 and 252352508.

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, 910882 + ... + 911158.

It is an arithmetic number, because the mean of its divisors is an integer number (6252498).

Almost surely, 2^252352540 is an apocalyptic number.

252352540 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 252352540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300119904).

252352540 is an abundant number, since it is smaller than the sum of its proper divisors (347887268).

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

252352540 is a wasteful number, since it uses less digits than its factorization.

252352540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 252352540 is about 15885.6079518538. The cubic root of 252352540 is about 631.9303687373.

The spelling of 252352540 in words is "two hundred fifty-two million, three hundred fifty-two thousand, five hundred forty".