253990240 has 48 divisors (see below), whose sum is σ = 685776672. Its totient is φ = 87081984.

The previous prime is 253990211. The next prime is 253990249. The reversal of 253990240 is 42099352.

It is a super-2 number, since 2×253990240² = 129022084030515200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 253990196 and 253990205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253990249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112269 + ... + 114508.

It is an arithmetic number, because the mean of its divisors is an integer number (14287014).

Almost surely, 2^253990240 is an apocalyptic number.

253990240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253990240 is an abundant number, since it is smaller than the sum of its proper divisors (431786432).

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

253990240 is a wasteful number, since it uses less digits than its factorization.

253990240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226799 (or 226791 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 253990240 is about 15937.0712491348. The cubic root of 253990240 is about 633.2944414406.

The spelling of 253990240 in words is "two hundred fifty-three million, nine hundred ninety thousand, two hundred forty".