253049440 has 96 divisors (see below), whose sum is σ = 690306624. Its totient is φ = 85862400.

The previous prime is 253049431. The next prime is 253049443. The reversal of 253049440 is 44940352.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253049443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112002 + ... + 114238.

It is an arithmetic number, because the mean of its divisors is an integer number (7190694).

Almost surely, 2^253049440 is an apocalyptic number.

253049440 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 253049440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345153312).

253049440 is an abundant number, since it is smaller than the sum of its proper divisors (437257184).

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

253049440 is a wasteful number, since it uses less digits than its factorization.

253049440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 253049440 is about 15907.5277777535. The cubic root of 253049440 is about 632.5115497274.

Adding to 253049440 its reverse (44940352), we get a palindrome (297989792).

The spelling of 253049440 in words is "two hundred fifty-three million, forty-nine thousand, four hundred forty".