252674688 has 256 divisors, whose sum is σ = 825661440. Its totient is φ = 66908160.

The previous prime is 252674687. The next prime is 252674699. The reversal of 252674688 is 886476252.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (252674683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3771231 + ... + 3771297.

It is an arithmetic number, because the mean of its divisors is an integer number (3225240).

Almost surely, 2^252674688 is an apocalyptic number.

252674688 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 252674688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412830720).

252674688 is an abundant number, since it is smaller than the sum of its proper divisors (572986752).

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

252674688 is a wasteful number, since it uses less digits than its factorization.

252674688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 252674688 is about 15895.7443361423. The cubic root of 252674688 is about 632.1991574448.

The spelling of 252674688 in words is "two hundred fifty-two million, six hundred seventy-four thousand, six hundred eighty-eight".