253257840 has 600 divisors, whose sum is σ = 1077587280. Its totient is φ = 54743040.

The previous prime is 253257839. The next prime is 253257863. The reversal of 253257840 is 48752352.

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

It is a junction number, because it is equal to n+sod(n) for n = 253257795 and 253257804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13329351 + ... + 13329369.

Almost surely, 2^253257840 is an apocalyptic number.

253257840 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 253257840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538793640).

253257840 is an abundant number, since it is smaller than the sum of its proper divisors (824329440).

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

253257840 is a wasteful number, since it uses less digits than its factorization.

253257840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 253257840 is about 15914.0767875488. The cubic root of 253257840 is about 632.6851379898.

The spelling of 253257840 in words is "two hundred fifty-three million, two hundred fifty-seven thousand, eight hundred forty".