253793280 has 352 divisors, whose sum is σ = 924392448. Its totient is φ = 58982400.

The previous prime is 253793269. The next prime is 253793341. The reversal of 253793280 is 82397352.

It is a super-2 number, since 2×253793280² = 128822057946316800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 6190060 + ... + 6190100.

Almost surely, 2^253793280 is an apocalyptic number.

253793280 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 253793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462196224).

253793280 is an abundant number, since it is smaller than the sum of its proper divisors (670599168).

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

253793280 is a wasteful number, since it uses less digits than its factorization.

253793280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 253793280 is about 15930.8907472244. The cubic root of 253793280 is about 633.1307003336.

The spelling of 253793280 in words is "two hundred fifty-three million, seven hundred ninety-three thousand, two hundred eighty".