253602440 has 192 divisors, whose sum is σ = 736873200. Its totient is φ = 77801472.

The previous prime is 253602421. The next prime is 253602449. The reversal of 253602440 is 44206352.

253602440 = 2531² + 2532² + ... + 2569².

253602440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 54848836 + 198753604 = 7406^2 + 14098^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253602449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 942626 + ... + 942894.

Almost surely, 2^253602440 is an apocalyptic number.

253602440 is a gapful number since it is divisible by the number (20) 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 253602440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368436600).

253602440 is an abundant number, since it is smaller than the sum of its proper divisors (483270760).

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

253602440 is a wasteful number, since it uses less digits than its factorization.

253602440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 253602440 is about 15924.8999996860. The cubic root of 253602440 is about 632.9719662112.

Adding to 253602440 its reverse (44206352), we get a palindrome (297808792).

The spelling of 253602440 in words is "two hundred fifty-three million, six hundred two thousand, four hundred forty".