414430131 has 16 divisors (see below), whose sum is σ = 586838304. Its totient is φ = 259252224.

The previous prime is 414430117. The next prime is 414430139. The reversal of 414430131 is 131034414.

It is not a de Polignac number, because 414430131 - 2¹⁵ = 414397363 is a prime.

It is a super-2 number, since 2×414430131² = 343504666961354322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414430098 and 414430107.

It is not an unprimeable number, because it can be changed into a prime (414430139) 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 15 ways as a sum of consecutive naturals, for example, 5131 + ... + 29243.

It is an arithmetic number, because the mean of its divisors is an integer number (36677394).

Almost surely, 2^414430131 is an apocalyptic number.

414430131 is a deficient number, since it is larger than the sum of its proper divisors (172408173).

414430131 is a wasteful number, since it uses less digits than its factorization.

414430131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24470.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 414430131 is about 20357.5570980410. The cubic root of 414430131 is about 745.5620166475.

Adding to 414430131 its reverse (131034414), we get a palindrome (545464545).

The spelling of 414430131 in words is "four hundred fourteen million, four hundred thirty thousand, one hundred thirty-one".