253360224 has 240 divisors, whose sum is σ = 821332512. Its totient is φ = 76142592.

The previous prime is 253360223. The next prime is 253360253. The reversal of 253360224 is 422063352.

253360224 is a `hidden beast` number, since 2 + 5 + 33 + 602 + 24 = 666.

253360224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253360223) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2459757 + ... + 2459859.

Almost surely, 2^253360224 is an apocalyptic number.

253360224 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 253360224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410666256).

253360224 is an abundant number, since it is smaller than the sum of its proper divisors (567972288).

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

253360224 is a wasteful number, since it uses less digits than its factorization.

253360224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 253360224 is about 15917.2932372310. The cubic root of 253360224 is about 632.7703845881.

The spelling of 253360224 in words is "two hundred fifty-three million, three hundred sixty thousand, two hundred twenty-four".