253120280 has 128 divisors (see below), whose sum is σ = 699840000. Its totient is φ = 82131840.

The previous prime is 253120253. The next prime is 253120291. The reversal of 253120280 is 82021352.

253120280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253120280² = 128139752294556800, which contains 22 as substring.

It is a congruent number.

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, 260195 + ... + 261165.

It is an arithmetic number, because the mean of its divisors is an integer number (5467500).

Almost surely, 2^253120280 is an apocalyptic number.

253120280 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 253120280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349920000).

253120280 is an abundant number, since it is smaller than the sum of its proper divisors (446719720).

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

253120280 is a wasteful number, since it uses less digits than its factorization.

253120280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 253120280 is about 15909.7542407166. The cubic root of 253120280 is about 632.5705670979.

The spelling of 253120280 in words is "two hundred fifty-three million, one hundred twenty thousand, two hundred eighty".