413213004 has 36 divisors (see below), whose sum is σ = 1045502640. Its totient is φ = 137606880.

The previous prime is 413212997. The next prime is 413213011. The reversal of 413213004 is 400312314.

413213004 is a `hidden beast` number, since 41 + 321 + 300 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (413212997) and next prime (413213011).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37657 + ... + 47375.

It is an arithmetic number, because the mean of its divisors is an integer number (29041740).

Almost surely, 2^413213004 is an apocalyptic number.

It is an amenable number.

413213004 is an abundant number, since it is smaller than the sum of its proper divisors (632289636).

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

413213004 is a wasteful number, since it uses less digits than its factorization.

413213004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10910 (or 10905 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 413213004 is about 20327.6413781826. The cubic root of 413213004 is about 744.8314283105.

Adding to 413213004 its reverse (400312314), we get a palindrome (813525318).

The spelling of 413213004 in words is "four hundred thirteen million, two hundred thirteen thousand, four".