253091840 has 112 divisors (see below), whose sum is σ = 627534432. Its totient is φ = 97910784.

The previous prime is 253091833. The next prime is 253091857. The reversal of 253091840 is 48190352.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 253091797 and 253091806.

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, 1515437 + ... + 1515603.

It is an arithmetic number, because the mean of its divisors is an integer number (5602986).

Almost surely, 2^253091840 is an apocalyptic number.

253091840 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 253091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313767216).

253091840 is an abundant number, since it is smaller than the sum of its proper divisors (374442592).

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

253091840 is an equidigital number, since it uses as much as digits as its factorization.

253091840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 253091840 is about 15908.8604243044. The cubic root of 253091840 is about 632.5468748296.

The spelling of 253091840 in words is "two hundred fifty-three million, ninety-one thousand, eight hundred forty".