253857280 has 80 divisors (see below), whose sum is σ = 620478144. Its totient is φ = 99573760.

The previous prime is 253857193. The next prime is 253857299. The reversal of 253857280 is 82758352.

253857280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134745 + ... + 136615.

Almost surely, 2^253857280 is an apocalyptic number.

253857280 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 253857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310239072).

253857280 is an abundant number, since it is smaller than the sum of its proper divisors (366620864).

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

253857280 is an equidigital number, since it uses as much as digits as its factorization.

253857280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 253857280 is about 15932.8992967382. The cubic root of 253857280 is about 633.1839155058.

The spelling of 253857280 in words is "two hundred fifty-three million, eight hundred fifty-seven thousand, two hundred eighty".