253364144 has 40 divisors (see below), whose sum is σ = 537556368. Its totient is φ = 114727680.

The previous prime is 253364143. The next prime is 253364173. The reversal of 253364144 is 441463352.

It is a self number, because there is not a number n which added to its sum of digits gives 253364144.

It is not an unprimeable number, because it can be changed into a prime (253364143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46154 + ... + 51350.

Almost surely, 2^253364144 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 253364144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268778184).

253364144 is an abundant number, since it is smaller than the sum of its proper divisors (284192224).

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

253364144 is a wasteful number, since it uses less digits than its factorization.

253364144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5493 (or 5487 counting only the distinct ones).

The product of its digits is 34560, while the sum is 32.

The square root of 253364144 is about 15917.4163732686. The cubic root of 253364144 is about 632.7736479879.

The spelling of 253364144 in words is "two hundred fifty-three million, three hundred sixty-four thousand, one hundred forty-four".