253242880 has 240 divisors, whose sum is σ = 733171824. Its totient is φ = 82903040.

The previous prime is 253242859. The next prime is 253242881. The reversal of 253242880 is 88242352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253242881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11010549 + ... + 11010571.

Almost surely, 2^253242880 is an apocalyptic number.

253242880 is a gapful number since it is divisible by the number (20) 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 253242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366585912).

253242880 is an abundant number, since it is smaller than the sum of its proper divisors (479928944).

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

253242880 is a wasteful number, since it uses less digits than its factorization.

253242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 253242880 is about 15913.6067564836. The cubic root of 253242880 is about 632.6726801247.

The spelling of 253242880 in words is "two hundred fifty-three million, two hundred forty-two thousand, eight hundred eighty".