252530432 has 144 divisors (see below), whose sum is σ = 656957952. Its totient is φ = 93941760.

The previous prime is 252530429. The next prime is 252530449. The reversal of 252530432 is 234035252.

It is a super-2 number, since 2×252530432² = 127543238172213248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453098 + ... + 453654.

It is an arithmetic number, because the mean of its divisors is an integer number (4562208).

Almost surely, 2^252530432 is an apocalyptic number.

252530432 is a gapful number since it is divisible by the number (22) 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 252530432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328478976).

252530432 is an abundant number, since it is smaller than the sum of its proper divisors (404427520).

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

252530432 is a wasteful number, since it uses less digits than its factorization.

252530432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 252530432 is about 15891.2061216259. The cubic root of 252530432 is about 632.0788236889.

Adding to 252530432 its reverse (234035252), we get a palindrome (486565684).

The spelling of 252530432 in words is "two hundred fifty-two million, five hundred thirty thousand, four hundred thirty-two".