252247632 has 320 divisors, whose sum is σ = 879943680. Its totient is φ = 60383232.

The previous prime is 252247603. The next prime is 252247643. The reversal of 252247632 is 236742252.

252247632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 252247593 and 252247602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3192969 + ... + 3193047.

It is an arithmetic number, because the mean of its divisors is an integer number (2749824).

Almost surely, 2^252247632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252247632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439971840).

252247632 is an abundant number, since it is smaller than the sum of its proper divisors (627696048).

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

252247632 is a wasteful number, since it uses less digits than its factorization.

252247632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 252247632 is about 15882.3056260733. The cubic root of 252247632 is about 631.8427879004.

Adding to 252247632 its reverse (236742252), we get a palindrome (488989884).

The spelling of 252247632 in words is "two hundred fifty-two million, two hundred forty-seven thousand, six hundred thirty-two".