413002963 has 8 divisors (see below), whose sum is σ = 424660320. Its totient is φ = 401421120.

The previous prime is 413002957. The next prime is 413003021. The reversal of 413002963 is 369200314.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 413002963 - 2⁹ = 413002451 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413002363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7695 + ... + 29752.

It is an arithmetic number, because the mean of its divisors is an integer number (53082540).

Almost surely, 2^413002963 is an apocalyptic number.

413002963 is a deficient number, since it is larger than the sum of its proper divisors (11657357).

413002963 is a wasteful number, since it uses less digits than its factorization.

413002963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37757.

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 413002963 is about 20322.4743326200. The cubic root of 413002963 is about 744.7052047473.

The spelling of 413002963 in words is "four hundred thirteen million, two thousand, nine hundred sixty-three".