253442980 has 96 divisors (see below), whose sum is σ = 655441920. Its totient is φ = 80403840.

The previous prime is 253442971. The next prime is 253442993. The reversal of 253442980 is 89244352.

It is a happy number.

It is a super-2 number, since 2×253442980² = 128466688222560800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98551 + ... + 101089.

It is an arithmetic number, because the mean of its divisors is an integer number (6827520).

Almost surely, 2^253442980 is an apocalyptic number.

253442980 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 253442980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327720960).

253442980 is an abundant number, since it is smaller than the sum of its proper divisors (401998940).

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

253442980 is a wasteful number, since it uses less digits than its factorization.

253442980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2609 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 253442980 is about 15919.8925875773. The cubic root of 253442980 is about 632.8392718095.

The spelling of 253442980 in words is "two hundred fifty-three million, four hundred forty-two thousand, nine hundred eighty".