252632464 has 40 divisors (see below), whose sum is σ = 563836928. Its totient is φ = 107412480.

The previous prime is 252632407. The next prime is 252632467. The reversal of 252632464 is 464236252.

It is a super-2 number, since 2×252632464² = 127646323733422592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252632467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5344 + ... + 23104.

Almost surely, 2^252632464 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 252632464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281918464).

252632464 is an abundant number, since it is smaller than the sum of its proper divisors (311204464).

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

252632464 is a wasteful number, since it uses less digits than its factorization.

252632464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17903 (or 17897 counting only the distinct ones).

The product of its digits is 69120, while the sum is 34.

The square root of 252632464 is about 15894.4161264263. The cubic root of 252632464 is about 632.1639402723.

The spelling of 252632464 in words is "two hundred fifty-two million, six hundred thirty-two thousand, four hundred sixty-four".