253398144 has 64 divisors (see below), whose sum is σ = 680127840. Its totient is φ = 83582976.

The previous prime is 253398127. The next prime is 253398161. The reversal of 253398144 is 441893352.

It is an interprime number because it is at equal distance from previous prime (253398127) and next prime (253398161).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 33847 + ... + 40649.

Almost surely, 2^253398144 is an apocalyptic number.

253398144 is a gapful number since it is divisible by the number (24) 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 253398144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340063920).

253398144 is an abundant number, since it is smaller than the sum of its proper divisors (426729696).

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

253398144 is an equidigital number, since it uses as much as digits as its factorization.

253398144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6917 (or 6905 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 253398144 is about 15918.4843499625. The cubic root of 253398144 is about 632.8019515742.

The spelling of 253398144 in words is "two hundred fifty-three million, three hundred ninety-eight thousand, one hundred forty-four".