253145408 has 28 divisors (see below), whose sum is σ = 519661140. Its totient is φ = 122207232.

The previous prime is 253145401. The next prime is 253145423. The reversal of 253145408 is 804541352.

It can be written as a sum of positive squares in 2 ways, for example, as 180418624 + 72726784 = 13432^2 + 8528^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253145401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66341 + ... + 70052.

Almost surely, 2^253145408 is an apocalyptic number.

It is an amenable number.

253145408 is an abundant number, since it is smaller than the sum of its proper divisors (266515732).

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

253145408 is a wasteful number, since it uses less digits than its factorization.

253145408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136434 (or 136424 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 253145408 is about 15910.5439253345. The cubic root of 253145408 is about 632.5914987899.

The spelling of 253145408 in words is "two hundred fifty-three million, one hundred forty-five thousand, four hundred eight".