253244040 has 128 divisors (see below), whose sum is σ = 876994560. Its totient is φ = 57302784.

The previous prime is 253244029. The next prime is 253244041. The reversal of 253244040 is 40442352.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 253244040.

It is not an unprimeable number, because it can be changed into a prime (253244041) 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 31 ways as a sum of consecutive naturals, for example, 85057 + ... + 87983.

It is an arithmetic number, because the mean of its divisors is an integer number (6851520).

Almost surely, 2^253244040 is an apocalyptic number.

253244040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438497280).

253244040 is an abundant number, since it is smaller than the sum of its proper divisors (623750520).

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

253244040 is a wasteful number, since it uses less digits than its factorization.

253244040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 253244040 is about 15913.6432032392. The cubic root of 253244040 is about 632.6736461264.

Adding to 253244040 its reverse (40442352), we get a palindrome (293686392).

The spelling of 253244040 in words is "two hundred fifty-three million, two hundred forty-four thousand, forty".