252986464 has 48 divisors (see below), whose sum is σ = 518712768. Its totient is φ = 121347072.

The previous prime is 252986449. The next prime is 252986467. The reversal of 252986464 is 464689252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252986467) 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, 84969 + ... + 87895.

It is an arithmetic number, because the mean of its divisors is an integer number (10806516).

Almost surely, 2^252986464 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 252986464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259356384).

252986464 is an abundant number, since it is smaller than the sum of its proper divisors (265726304).

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

252986464 is a wasteful number, since it uses less digits than its factorization.

252986464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3039 counting only the distinct ones).

The product of its digits is 829440, while the sum is 46.

The square root of 252986464 is about 15905.5482143810. The cubic root of 252986464 is about 632.4590746693.

The spelling of 252986464 in words is "two hundred fifty-two million, nine hundred eighty-six thousand, four hundred sixty-four".