252948432 has 80 divisors (see below), whose sum is σ = 714954240. Its totient is φ = 76425600.

The previous prime is 252948401. The next prime is 252948439. The reversal of 252948432 is 234849252.

252948432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252948439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301069 + ... + 301907.

It is an arithmetic number, because the mean of its divisors is an integer number (8936928).

Almost surely, 2^252948432 is an apocalyptic number.

252948432 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 252948432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357477120).

252948432 is an abundant number, since it is smaller than the sum of its proper divisors (462005808).

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

252948432 is a wasteful number, since it uses less digits than its factorization.

252948432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1426 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 252948432 is about 15904.3526117852. The cubic root of 252948432 is about 632.4273801027.

The spelling of 252948432 in words is "two hundred fifty-two million, nine hundred forty-eight thousand, four hundred thirty-two".