253501344 has 72 divisors (see below), whose sum is σ = 758852640. Its totient is φ = 80051328.

The previous prime is 253501343. The next prime is 253501379. The reversal of 253501344 is 443105352.

253501344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (253501343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17692 + ... + 28635.

It is an arithmetic number, because the mean of its divisors is an integer number (10539620).

Almost surely, 2^253501344 is an apocalyptic number.

253501344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253501344 is an abundant number, since it is smaller than the sum of its proper divisors (505351296).

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

253501344 is a wasteful number, since it uses less digits than its factorization.

253501344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46362 (or 46351 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 253501344 is about 15921.7255346272. The cubic root of 253501344 is about 632.8878457812.

Adding to 253501344 its reverse (443105352), we get a palindrome (696606696).

The spelling of 253501344 in words is "two hundred fifty-three million, five hundred one thousand, three hundred forty-four".