253520280 has 240 divisors, whose sum is σ = 924691680. Its totient is φ = 62270208.

The previous prime is 253520279. The next prime is 253520353. The reversal of 253520280 is 82025352.

253520280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 547329 + ... + 547791.

It is an arithmetic number, because the mean of its divisors is an integer number (3852882).

Almost surely, 2^253520280 is an apocalyptic number.

253520280 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 253520280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462345840).

253520280 is an abundant number, since it is smaller than the sum of its proper divisors (671171400).

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

253520280 is a wasteful number, since it uses less digits than its factorization.

253520280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 253520280 is about 15922.3201826869. The cubic root of 253520280 is about 632.9036038382.

The spelling of 253520280 in words is "two hundred fifty-three million, five hundred twenty thousand, two hundred eighty".