253279440 has 80 divisors (see below), whose sum is σ = 872414400. Its totient is φ = 67540608.

The previous prime is 253279399. The next prime is 253279463. The reversal of 253279440 is 44972352.

253279440 is digitally balanced in base 2, 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 (80).

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 = 253279395 and 253279404.

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, 56470 + ... + 60789.

It is an arithmetic number, because the mean of its divisors is an integer number (10905180).

Almost surely, 2^253279440 is an apocalyptic number.

253279440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253279440 is an abundant number, since it is smaller than the sum of its proper divisors (619134960).

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

253279440 is a wasteful number, since it uses less digits than its factorization.

253279440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117281 (or 117269 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 253279440 is about 15914.7554175363. The cubic root of 253279440 is about 632.7031244162.

The spelling of 253279440 in words is "two hundred fifty-three million, two hundred seventy-nine thousand, four hundred forty".