252676788 has 96 divisors (see below), whose sum is σ = 736081920. Its totient is φ = 65681280.

The previous prime is 252676783. The next prime is 252676789. The reversal of 252676788 is 887676252.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 252676788.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252676783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75903 + ... + 79161.

It is an arithmetic number, because the mean of its divisors is an integer number (7667520).

Almost surely, 2^252676788 is an apocalyptic number.

252676788 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252676788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368040960).

252676788 is an abundant number, since it is smaller than the sum of its proper divisors (483405132).

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

252676788 is a wasteful number, since it uses less digits than its factorization.

252676788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3355 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The square root of 252676788 is about 15895.8103914208. The cubic root of 252676788 is about 632.2009088596.

The spelling of 252676788 in words is "two hundred fifty-two million, six hundred seventy-six thousand, seven hundred eighty-eight".