252965776 has 80 divisors (see below), whose sum is σ = 588248064. Its totient is φ = 103036032.

The previous prime is 252965773. The next prime is 252965807. The reversal of 252965776 is 677569252.

It is not an unprimeable number, because it can be changed into a prime (252965773) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 728835 + ... + 729181.

Almost surely, 2^252965776 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 252965776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294124032).

252965776 is an abundant number, since it is smaller than the sum of its proper divisors (335282288).

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

252965776 is a wasteful number, since it uses less digits than its factorization.

252965776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 662 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 49.

The square root of 252965776 is about 15904.8978619795. The cubic root of 252965776 is about 632.4418343925.

The spelling of 252965776 in words is "two hundred fifty-two million, nine hundred sixty-five thousand, seven hundred seventy-six".