253943040 has 144 divisors (see below), whose sum is σ = 873589248. Its totient is φ = 62496768.

The previous prime is 253943033. The next prime is 253943089. The reversal of 253943040 is 40349352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 253942989 and 253943007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47377 + ... + 52463.

It is an arithmetic number, because the mean of its divisors is an integer number (6066592).

Almost surely, 2^253943040 is an apocalyptic number.

253943040 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 253943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436794624).

253943040 is an abundant number, since it is smaller than the sum of its proper divisors (619646208).

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

253943040 is a wasteful number, since it uses less digits than its factorization.

253943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5124 (or 5110 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 253943040 is about 15935.5903561807. The cubic root of 253943040 is about 633.2552098158.

The spelling of 253943040 in words is "two hundred fifty-three million, nine hundred forty-three thousand, forty".