253312444 has 96 divisors (see below), whose sum is σ = 592220160. Its totient is φ = 91776000.

The previous prime is 253312421. The next prime is 253312459. The reversal of 253312444 is 444213352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528597 + ... + 529075.

It is an arithmetic number, because the mean of its divisors is an integer number (6168960).

Almost surely, 2^253312444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253312444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296110080).

253312444 is an abundant number, since it is smaller than the sum of its proper divisors (338907716).

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

253312444 is a wasteful number, since it uses less digits than its factorization.

253312444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 617 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 253312444 is about 15915.7922831382. The cubic root of 253312444 is about 632.7306050347.

Adding to 253312444 its reverse (444213352), we get a palindrome (697525796).

The spelling of 253312444 in words is "two hundred fifty-three million, three hundred twelve thousand, four hundred forty-four".