253940040 has 48 divisors (see below), whose sum is σ = 825306300. Its totient is φ = 67717248.

The previous prime is 253940023. The next prime is 253940047. The reversal of 253940040 is 40049352.

253940040 is a `hidden beast` number, since 253 + 9 + 400 + 4 + 0 = 666.

253940040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 245047716 + 8892324 = 15654^2 + 2982^2 .

It is a junction number, because it is equal to n+sod(n) for n = 253939986 and 253940013.

It is not an unprimeable number, because it can be changed into a prime (253940047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352335 + ... + 353054.

Almost surely, 2^253940040 is an apocalyptic number.

253940040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253940040 is an abundant number, since it is smaller than the sum of its proper divisors (571366260).

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

253940040 is a wasteful number, since it uses less digits than its factorization.

253940040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705406 (or 705399 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 253940040 is about 15935.4962269771. The cubic root of 253940040 is about 633.2527161160.

Adding to 253940040 its reverse (40049352), we get a palindrome (293989392).

The spelling of 253940040 in words is "two hundred fifty-three million, nine hundred forty thousand, forty".