408075613812252 has 60 divisors (see below), whose sum is σ = 1066820265776496. Its totient is φ = 136021378861440.

The previous prime is 408075613812247. The next prime is 408075613812259. The reversal of 408075613812252 is 252218316570804.

It is a happy number.

408075613812252 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 7 + 5 + 6 + 1 + 381 + 2 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408075613812259) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6162493 + ... + 29225460.

Almost surely, 2^{408075613812252} is an apocalyptic number.

It is an amenable number.

408075613812252 is an abundant number, since it is smaller than the sum of its proper divisors (658744651964244).

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

408075613812252 is a wasteful number, since it uses less digits than its factorization.

408075613812252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35423560 (or 35423549 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 408075613812252 in words is "four hundred eight trillion, seventy-five billion, six hundred thirteen million, eight hundred twelve thousand, two hundred fifty-two".