253063440 has 300 divisors, whose sum is σ = 1023707916. Its totient is φ = 57770496.

The previous prime is 253063429. The next prime is 253063469. The reversal of 253063440 is 44360352.

253063440 is a `hidden beast` number, since 25 + 3 + 0 + 634 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106750224 + 146313216 = 10332^2 + 12096^2 .

It is a super-2 number, since 2×253063440² = 128082209329267200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 317122 + ... + 317918.

Almost surely, 2^253063440 is an apocalyptic number.

253063440 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 253063440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511853958).

253063440 is an abundant number, since it is smaller than the sum of its proper divisors (770644476).

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

253063440 is a wasteful number, since it uses less digits than its factorization.

253063440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 814 counting only the distinct ones).

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

The square root of 253063440 is about 15907.9678149033. The cubic root of 253063440 is about 632.5232141125.

The spelling of 253063440 in words is "two hundred fifty-three million, sixty-three thousand, four hundred forty".