253169280 has 768 divisors, whose sum is σ = 1172102400. Its totient is φ = 51093504.

The previous prime is 253169237. The next prime is 253169299. The reversal of 253169280 is 82961352.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11007349 + ... + 11007371.

It is an arithmetic number, because the mean of its divisors is an integer number (1526175).

Almost surely, 2^253169280 is an apocalyptic number.

253169280 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 253169280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586051200).

253169280 is an abundant number, since it is smaller than the sum of its proper divisors (918933120).

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

253169280 is a wasteful number, since it uses less digits than its factorization.

253169280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 253169280 is about 15911.2941019893. The cubic root of 253169280 is about 632.6113829475.

It can be divided in two parts, 25316 and 9280, that added together give a square (34596 = 186²).

The spelling of 253169280 in words is "two hundred fifty-three million, one hundred sixty-nine thousand, two hundred eighty".