1253995344 has 400 divisors, whose sum is σ = 4511282688. Its totient is φ = 328126464.

The previous prime is 1253995321. The next prime is 1253995367. The reversal of 1253995344 is 4435993521.

1253995344 is a `hidden beast` number, since 1 + 25 + 3 + 99 + 534 + 4 = 666.

1253995344 is digitally balanced in base 4, 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 (1253995321) and next prime (1253995367).

It is a self number, because there is not a number n which added to its sum of digits gives 1253995344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7248442 + ... + 7248614.

Almost surely, 2^1253995344 is an apocalyptic number.

1253995344 is a gapful number since it is divisible by the number (14) 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 1253995344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255641344).

1253995344 is an abundant number, since it is smaller than the sum of its proper divisors (3257287344).

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

1253995344 is a wasteful number, since it uses less digits than its factorization.

1253995344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 249 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 1253995344 is about 35411.7966785081. The cubic root of 1253995344 is about 1078.3638187619.

The spelling of 1253995344 in words is "one billion, two hundred fifty-three million, nine hundred ninety-five thousand, three hundred forty-four".