253666752 has 112 divisors (see below), whose sum is σ = 689774592. Its totient is φ = 82252800.

The previous prime is 253666733. The next prime is 253666753. The reversal of 253666752 is 257666352.

253666752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (453600) is a multiple of the sum of its prime divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253666753) 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, 1997313 + ... + 1997439.

Almost surely, 2^253666752 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 253666752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344887296).

253666752 is an abundant number, since it is smaller than the sum of its proper divisors (436107840).

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

253666752 is a wasteful number, since it uses less digits than its factorization.

253666752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its digits is 453600, while the sum is 42.

The square root of 253666752 is about 15926.9190994367. The cubic root of 253666752 is about 633.0254676056.

The spelling of 253666752 in words is "two hundred fifty-three million, six hundred sixty-six thousand, seven hundred fifty-two".