253840240 has 40 divisors (see below), whose sum is σ = 590863968. Its totient is φ = 101418240.

The previous prime is 253840217. The next prime is 253840283. The reversal of 253840240 is 42048352.

253840240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 253840199 and 253840208.

It is a congruent number.

It is an unprimeable number.

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, 108685 + ... + 110995.

Almost surely, 2^253840240 is an apocalyptic number.

253840240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253840240 is an abundant number, since it is smaller than the sum of its proper divisors (337023728).

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

253840240 is a wasteful number, since it uses less digits than its factorization.

253840240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 253840240 is about 15932.3645451640. The cubic root of 253840240 is about 633.1697478399.

Adding to 253840240 its reverse (42048352), we get a palindrome (295888592).

It can be divided in two parts, 2538 and 40240, that added together give a triangular number (42778 = T₂₉₂).

The spelling of 253840240 in words is "two hundred fifty-three million, eight hundred forty thousand, two hundred forty".