252924672 has 432 divisors, whose sum is σ = 939520512. Its totient is φ = 59351040.

The previous prime is 252924653. The next prime is 252924677. The reversal of 252924672 is 276429252.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 252924672.

It is not an unprimeable number, because it can be changed into a prime (252924677) 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 47 ways as a sum of consecutive naturals, for example, 5381353 + ... + 5381399.

It is an arithmetic number, because the mean of its divisors is an integer number (2174816).

Almost surely, 2^252924672 is an apocalyptic number.

252924672 is a gapful number since it is divisible by the number (22) 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 252924672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469760256).

252924672 is an abundant number, since it is smaller than the sum of its proper divisors (686595840).

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

252924672 is a wasteful number, since it uses less digits than its factorization.

252924672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 252924672 is about 15903.6056289132. The cubic root of 252924672 is about 632.4075777199.

The spelling of 252924672 in words is "two hundred fifty-two million, nine hundred twenty-four thousand, six hundred seventy-two".