253665450 has 72 divisors (see below), whose sum is σ = 692761836. Its totient is φ = 66528000.

The previous prime is 253665443. The next prime is 253665457. The reversal of 253665450 is 54566352.

It is a happy number.

253665450 is a `hidden beast` number, since 2 + 53 + 66 + 545 + 0 = 666.

253665450 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 (253665443) and next prime (253665457).

It can be written as a sum of positive squares in 6 ways, for example, as 100821681 + 152843769 = 10041^2 + 12363^2 .

It is not an unprimeable number, because it can be changed into a prime (253665457) 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, 22830 + ... + 32070.

Almost surely, 2^253665450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253665450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346380918).

253665450 is an abundant number, since it is smaller than the sum of its proper divisors (439096386).

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

253665450 is a wasteful number, since it uses less digits than its factorization.

253665450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9320 (or 9312 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 253665450 is about 15926.8782251890. The cubic root of 253665450 is about 633.0243845566.

The spelling of 253665450 in words is "two hundred fifty-three million, six hundred sixty-five thousand, four hundred fifty".