252262032 has 40 divisors (see below), whose sum is σ = 710921760. Its totient is φ = 76442880.

The previous prime is 252262009. The next prime is 252262061. The reversal of 252262032 is 230262252.

It is a super-2 number, since 2×252262032² = 127272265577538048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 252261993 and 252262011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238357 + ... + 239412.

It is an arithmetic number, because the mean of its divisors is an integer number (17773044).

Almost surely, 2^252262032 is an apocalyptic number.

252262032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252262032 is an abundant number, since it is smaller than the sum of its proper divisors (458659728).

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

252262032 is a wasteful number, since it uses less digits than its factorization.

252262032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477791 (or 477785 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 252262032 is about 15882.7589542875. The cubic root of 252262032 is about 631.8548109575.

The spelling of 252262032 in words is "two hundred fifty-two million, two hundred sixty-two thousand, thirty-two".