413428431 has 16 divisors (see below), whose sum is σ = 612792320. Its totient is φ = 246209760.

The previous prime is 413428387. The next prime is 413428469. The reversal of 413428431 is 134824314.

It is not a de Polignac number, because 413428431 - 2¹⁰ = 413427407 is a prime.

It is a super-2 number, since 2×413428431² = 341846135118243522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413427431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169771 + ... + 172188.

It is an arithmetic number, because the mean of its divisors is an integer number (38299520).

Almost surely, 2^413428431 is an apocalyptic number.

413428431 is a deficient number, since it is larger than the sum of its proper divisors (199363889).

413428431 is a wasteful number, since it uses less digits than its factorization.

413428431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342006.

The product of its digits is 9216, while the sum is 30.

The square root of 413428431 is about 20332.9395562963. The cubic root of 413428431 is about 744.9608441502.

The spelling of 413428431 in words is "four hundred thirteen million, four hundred twenty-eight thousand, four hundred thirty-one".