252754992 has 240 divisors, whose sum is σ = 864444672. Its totient is φ = 69984000.

The previous prime is 252754991. The next prime is 252754993. The reversal of 252754992 is 299457252.

252754992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252754991) and next prime (252754993).

Its product of digits (453600) is a multiple of the sum of its prime divisors (300).

It is not an unprimeable number, because it can be changed into a prime (252754991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1006867 + ... + 1007117.

Almost surely, 2^252754992 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 252754992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432222336).

252754992 is an abundant number, since it is smaller than the sum of its proper divisors (611689680).

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

252754992 is a wasteful number, since it uses less digits than its factorization.

252754992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 300 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 252754992 is about 15898.2700945732. The cubic root of 252754992 is about 632.2661246378.

The spelling of 252754992 in words is "two hundred fifty-two million, seven hundred fifty-four thousand, nine hundred ninety-two".