253818144 has 96 divisors (see below), whose sum is σ = 743783040. Its totient is φ = 84208896.

The previous prime is 253818127. The next prime is 253818193. The reversal of 253818144 is 441818352.

253818144 is a `hidden beast` number, since 2 + 538 + 1 + 81 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 253818099 and 253818108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226674 + ... + 227790.

It is an arithmetic number, because the mean of its divisors is an integer number (7747740).

Almost surely, 2^253818144 is an apocalyptic number.

253818144 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 253818144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371891520).

253818144 is an abundant number, since it is smaller than the sum of its proper divisors (489964896).

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

253818144 is a wasteful number, since it uses less digits than its factorization.

253818144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1385 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 253818144 is about 15931.6710987894. The cubic root of 253818144 is about 633.1513754906.

The spelling of 253818144 in words is "two hundred fifty-three million, eight hundred eighteen thousand, one hundred forty-four".