253665040 has 40 divisors (see below), whose sum is σ = 592283520. Its totient is φ = 101033856.

The previous prime is 253665031. The next prime is 253665047. The reversal of 253665040 is 40566352.

253665040 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 junction number, because it is equal to n+sod(n) for n = 253664993 and 253665011.

It is not an unprimeable number, because it can be changed into a prime (253665047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12487 + ... + 25753.

It is an arithmetic number, because the mean of its divisors is an integer number (14807088).

Almost surely, 2^253665040 is an apocalyptic number.

253665040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253665040 is an abundant number, since it is smaller than the sum of its proper divisors (338618480).

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

253665040 is a wasteful number, since it uses less digits than its factorization.

253665040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13519 (or 13513 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 253665040 is about 15926.8653538604. The cubic root of 253665040 is about 633.0240435036.

It can be divided in two parts, 2536 and 65040, that added together give a palindrome (67576).

The spelling of 253665040 in words is "two hundred fifty-three million, six hundred sixty-five thousand, forty".