253766344 has 96 divisors (see below), whose sum is σ = 557542440. Its totient is φ = 107827200.

The previous prime is 253766339. The next prime is 253766347. The reversal of 253766344 is 443667352.

It can be written as a sum of positive squares in 12 ways, for example, as 56700900 + 197065444 = 7530^2 + 14038^2 .

It is a junction number, because it is equal to n+sod(n) for n = 253766297 and 253766306.

It is not an unprimeable number, because it can be changed into a prime (253766347) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1401934 + ... + 1402114.

Almost surely, 2^253766344 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 253766344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278771220).

253766344 is an abundant number, since it is smaller than the sum of its proper divisors (303776096).

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

253766344 is a wasteful number, since it uses less digits than its factorization.

253766344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 274 counting only the distinct ones).

The product of its digits is 362880, while the sum is 40.

The square root of 253766344 is about 15930.0453232249. The cubic root of 253766344 is about 633.1083007231.

It can be divided in two parts, 25376 and 6344, that multiplied together give a square (160985344 = 12688²).

The spelling of 253766344 in words is "two hundred fifty-three million, seven hundred sixty-six thousand, three hundred forty-four".