253923840 has 240 divisors, whose sum is σ = 896246208. Its totient is φ = 66428928.

The previous prime is 253923833. The next prime is 253923869. The reversal of 253923840 is 48329352.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 253923795 and 253923804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2373067 + ... + 2373173.

Almost surely, 2^253923840 is an apocalyptic number.

253923840 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 253923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448123104).

253923840 is an abundant number, since it is smaller than the sum of its proper divisors (642322368).

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

253923840 is a wasteful number, since it uses less digits than its factorization.

253923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 253923840 is about 15934.9879196691. The cubic root of 253923840 is about 633.2392497978.

The spelling of 253923840 in words is "two hundred fifty-three million, nine hundred twenty-three thousand, eight hundred forty".