252461952 has 96 divisors (see below), whose sum is σ = 746246280. Its totient is φ = 81865728.

The previous prime is 252461941. The next prime is 252461953. The reversal of 252461952 is 259164252.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252461953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39663 + ... + 45585.

Almost surely, 2^252461952 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 252461952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373123140).

252461952 is an abundant number, since it is smaller than the sum of its proper divisors (493784328).

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

252461952 is a wasteful number, since it uses less digits than its factorization.

252461952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5980 (or 5965 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 252461952 is about 15889.0513247330. The cubic root of 252461952 is about 632.0216838151.

The spelling of 252461952 in words is "two hundred fifty-two million, four hundred sixty-one thousand, nine hundred fifty-two".