253024992 has 192 divisors, whose sum is σ = 817689600. Its totient is φ = 75479040.

The previous prime is 253024973. The next prime is 253024997. The reversal of 253024992 is 299420352.

253024992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253024997) 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, 750648 + ... + 750984.

It is an arithmetic number, because the mean of its divisors is an integer number (4258800).

Almost surely, 2^253024992 is an apocalyptic number.

253024992 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 253024992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408844800).

253024992 is an abundant number, since it is smaller than the sum of its proper divisors (564664608).

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

253024992 is a wasteful number, since it uses less digits than its factorization.

253024992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 253024992 is about 15906.7593179755. The cubic root of 253024992 is about 632.4911793465.

It can be divided in two parts, 253024 and 992, that added together give a square (254016 = 504²).

The spelling of 253024992 in words is "two hundred fifty-three million, twenty-four thousand, nine hundred ninety-two".