253906440 has 64 divisors (see below), whose sum is σ = 780312960. Its totient is φ = 66055680.

The previous prime is 253906421. The next prime is 253906447. The reversal of 253906440 is 44609352.

It is not an unprimeable number, because it can be changed into a prime (253906447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20884 + ... + 30723.

It is an arithmetic number, because the mean of its divisors is an integer number (12192390).

Almost surely, 2^253906440 is an apocalyptic number.

253906440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253906440 is an abundant number, since it is smaller than the sum of its proper divisors (526406520).

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

253906440 is a wasteful number, since it uses less digits than its factorization.

253906440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51662 (or 51658 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 253906440 is about 15934.4419419068. The cubic root of 253906440 is about 633.2247853365.

The spelling of 253906440 in words is "two hundred fifty-three million, nine hundred six thousand, four hundred forty".