253764224 has 64 divisors (see below), whose sum is σ = 586051200. Its totient is φ = 107197440.

The previous prime is 253764197. The next prime is 253764227. The reversal of 253764224 is 422467352.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253764227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61622 + ... + 65610.

It is an arithmetic number, because the mean of its divisors is an integer number (9157050).

Almost surely, 2^253764224 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 253764224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293025600).

253764224 is an abundant number, since it is smaller than the sum of its proper divisors (332286976).

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

253764224 is an equidigital number, since it uses as much as digits as its factorization.

253764224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081 (or 4069 counting only the distinct ones).

The product of its digits is 80640, while the sum is 35.

The square root of 253764224 is about 15929.9787821579. The cubic root of 253764224 is about 633.1065376927.

The spelling of 253764224 in words is "two hundred fifty-three million, seven hundred sixty-four thousand, two hundred twenty-four".