413783667 has 64 divisors (see below), whose sum is σ = 690923520. Its totient is φ = 242611200.

The previous prime is 413783663. The next prime is 413783677. The reversal of 413783667 is 766387314.

It is not a de Polignac number, because 413783667 - 2² = 413783663 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (508032) is a multiple of the sum of its prime factors (441).

It is not an unprimeable number, because it can be changed into a prime (413783663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1526742 + ... + 1527012.

It is an arithmetic number, because the mean of its divisors is an integer number (10795680).

Almost surely, 2^413783667 is an apocalyptic number.

413783667 is a deficient number, since it is larger than the sum of its proper divisors (277139853).

413783667 is a wasteful number, since it uses less digits than its factorization.

413783667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 435 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 413783667 is about 20341.6731612717. The cubic root of 413783667 is about 745.1741508403.

The spelling of 413783667 in words is "four hundred thirteen million, seven hundred eighty-three thousand, six hundred sixty-seven".