252726964 has 48 divisors (see below), whose sum is σ = 540207360. Its totient is φ = 100984320.

The previous prime is 252726959. The next prime is 252727003. The reversal of 252726964 is 469627252.

It is a self number, because there is not a number n which added to its sum of digits gives 252726964.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49449 + ... + 54319.

It is an arithmetic number, because the mean of its divisors is an integer number (11254320).

Almost surely, 2^252726964 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 252726964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270103680).

252726964 is an abundant number, since it is smaller than the sum of its proper divisors (287480396).

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

252726964 is a wasteful number, since it uses less digits than its factorization.

252726964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 5006 counting only the distinct ones).

The product of its digits is 362880, while the sum is 43.

The square root of 252726964 is about 15897.3885905830. The cubic root of 252726964 is about 632.2427531113.

The spelling of 252726964 in words is "two hundred fifty-two million, seven hundred twenty-six thousand, nine hundred sixty-four".