252998784 has 96 divisors (see below), whose sum is σ = 753234300. Its totient is φ = 81414144.

The previous prime is 252998783. The next prime is 252998789. The reversal of 252998784 is 487899252.

It can be written as a sum of positive squares in 2 ways, for example, as 217857600 + 35141184 = 14760^2 + 5928^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 252998784.

It is not an unprimeable number, because it can be changed into a prime (252998783) 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 11 ways as a sum of consecutive naturals, for example, 29622 + ... + 37194.

Almost surely, 2^252998784 is an apocalyptic number.

252998784 is a gapful number since it is divisible by the number (24) 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 252998784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376617150).

252998784 is an abundant number, since it is smaller than the sum of its proper divisors (500235516).

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

252998784 is a wasteful number, since it uses less digits than its factorization.

252998784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7622 (or 7607 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 252998784 is about 15905.9354959084. The cubic root of 252998784 is about 632.4693410543.

The spelling of 252998784 in words is "two hundred fifty-two million, nine hundred ninety-eight thousand, seven hundred eighty-four".