253716144 has 80 divisors (see below), whose sum is σ = 720370560. Its totient is φ = 76308480.

The previous prime is 253716137. The next prime is 253716149. The reversal of 253716144 is 441617352.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (253716149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71664 + ... + 75120.

It is an arithmetic number, because the mean of its divisors is an integer number (9004632).

Almost surely, 2^253716144 is an apocalyptic number.

253716144 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 253716144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360185280).

253716144 is an abundant number, since it is smaller than the sum of its proper divisors (466654416).

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

253716144 is a wasteful number, since it uses less digits than its factorization.

253716144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 3612 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 253716144 is about 15928.4696063370. The cubic root of 253716144 is about 633.0665508570.

It can be divided in two parts, 2537 and 16144, that added together give a palindrome (18681).

The spelling of 253716144 in words is "two hundred fifty-three million, seven hundred sixteen thousand, one hundred forty-four".