413000824 has 16 divisors (see below), whose sum is σ = 778855320. Its totient is φ = 205306080.

The previous prime is 413000807. The next prime is 413000869. The reversal of 413000824 is 428000314.

It is a junction number, because it is equal to n+sod(n) for n = 413000795 and 413000804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 147822 + ... + 150589.

Almost surely, 2^413000824 is an apocalyptic number.

It is an amenable number.

413000824 is a deficient number, since it is larger than the sum of its proper divisors (365854496).

413000824 is a wasteful number, since it uses less digits than its factorization.

413000824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298590 (or 298586 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 413000824 is about 20322.4217060861. The cubic root of 413000824 is about 744.7039191010.

The spelling of 413000824 in words is "four hundred thirteen million, eight hundred twenty-four", and thus it is an aban number.