253001440 has 48 divisors (see below), whose sum is σ = 607869360. Its totient is φ = 99481600.

The previous prime is 253001431. The next prime is 253001443. The reversal of 253001440 is 44100352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253001443) 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, 3961 + ... + 22840.

It is an arithmetic number, because the mean of its divisors is an integer number (12663945).

Almost surely, 2^253001440 is an apocalyptic number.

253001440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253001440 is an abundant number, since it is smaller than the sum of its proper divisors (354867920).

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

253001440 is a wasteful number, since it uses less digits than its factorization.

253001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26875 (or 26867 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 253001440 is about 15906.0189865346. The cubic root of 253001440 is about 632.4715542832.

Adding to 253001440 its reverse (44100352), we get a palindrome (297101792).

The spelling of 253001440 in words is "two hundred fifty-three million, one thousand, four hundred forty".