413431971 has 8 divisors (see below), whose sum is σ = 564062400. Its totient is φ = 269211432.

The previous prime is 413431961. The next prime is 413431981. The reversal of 413431971 is 179134314.

It is an interprime number because it is at equal distance from previous prime (413431961) and next prime (413431981).

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

It is not a de Polignac number, because 413431971 - 2²² = 409237667 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413431961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1602321 + ... + 1602578.

It is an arithmetic number, because the mean of its divisors is an integer number (70507800).

Almost surely, 2^413431971 is an apocalyptic number.

413431971 is a deficient number, since it is larger than the sum of its proper divisors (150630429).

413431971 is a wasteful number, since it uses less digits than its factorization.

413431971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204945.

The product of its digits is 9072, while the sum is 33.

The square root of 413431971 is about 20333.0266069761. The cubic root of 413431971 is about 744.9629703980.

The spelling of 413431971 in words is "four hundred thirteen million, four hundred thirty-one thousand, nine hundred seventy-one".