413788536 has 144 divisors (see below), whose sum is σ = 1372480200. Its totient is φ = 111984768.

The previous prime is 413788511. The next prime is 413788541. The reversal of 413788536 is 635887314.

413788536 is a `hidden beast` number, since 4 + 1 + 37 + 88 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 413788491 and 413788500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63946 + ... + 70118.

Almost surely, 2^413788536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413788536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686240100).

413788536 is an abundant number, since it is smaller than the sum of its proper divisors (958691664).

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

413788536 is a wasteful number, since it uses less digits than its factorization.

413788536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6218 (or 6204 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 413788536 is about 20341.7928413402. The cubic root of 413788536 is about 745.1770736548.

The spelling of 413788536 in words is "four hundred thirteen million, seven hundred eighty-eight thousand, five hundred thirty-six".