253352736 has 216 divisors, whose sum is σ = 903222684. Its totient is φ = 66769920.

The previous prime is 253352731. The next prime is 253352741. The reversal of 253352736 is 637253352.

253352736 is a `hidden beast` number, since 2 + 533 + 52 + 73 + 6 = 666.

253352736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253352731) and next prime (253352741).

It can be written as a sum of positive squares in 2 ways, for example, as 241491600 + 11861136 = 15540^2 + 3444^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 253352736.

It is not an unprimeable number, because it can be changed into a prime (253352731) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 182766 + ... + 184146.

Almost surely, 2^253352736 is an apocalyptic number.

253352736 is a gapful number since it is divisible by the number (26) 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 253352736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451611342).

253352736 is an abundant number, since it is smaller than the sum of its proper divisors (649869948).

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

253352736 is a wasteful number, since it uses less digits than its factorization.

253352736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1406 counting only the distinct ones).

The product of its digits is 113400, while the sum is 36.

The square root of 253352736 is about 15917.0580196216. The cubic root of 253352736 is about 632.7641507349.

The spelling of 253352736 in words is "two hundred fifty-three million, three hundred fifty-two thousand, seven hundred thirty-six".