253238832 has 320 divisors, whose sum is σ = 948510720. Its totient is φ = 62726400.

The previous prime is 253238831. The next prime is 253238833. The reversal of 253238832 is 238832352.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (253238831) and next prime (253238833).

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (253238831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 764907 + ... + 765237.

It is an arithmetic number, because the mean of its divisors is an integer number (2964096).

Almost surely, 2^253238832 is an apocalyptic number.

253238832 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 253238832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474255360).

253238832 is an abundant number, since it is smaller than the sum of its proper divisors (695271888).

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

253238832 is a wasteful number, since it uses less digits than its factorization.

253238832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 253238832 is about 15913.4795692206. The cubic root of 253238832 is about 632.6693090886.

The spelling of 253238832 in words is "two hundred fifty-three million, two hundred thirty-eight thousand, eight hundred thirty-two".