253841280 has 512 divisors, whose sum is σ = 1078686720. Its totient is φ = 49152000.

The previous prime is 253841267. The next prime is 253841303. The reversal of 253841280 is 82148352.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2513230 + ... + 2513330.

It is an arithmetic number, because the mean of its divisors is an integer number (2106810).

Almost surely, 2^253841280 is an apocalyptic number.

253841280 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 253841280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539343360).

253841280 is an abundant number, since it is smaller than the sum of its proper divisors (824845440).

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

253841280 is a wasteful number, since it uses less digits than its factorization.

253841280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 253841280 is about 15932.3971830983. The cubic root of 253841280 is about 633.1706125513.

The spelling of 253841280 in words is "two hundred fifty-three million, eight hundred forty-one thousand, two hundred eighty".