414407131 has 16 divisors (see below), whose sum is σ = 438939648. Its totient is φ = 390779200.

The previous prime is 414407107. The next prime is 414407167. The reversal of 414407131 is 131704414.

It is a happy number.

It is not a de Polignac number, because 414407131 - 2¹¹ = 414405083 is a prime.

It is a super-2 number, since 2×414407131² = 343466540447302322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414407096 and 414407105.

It is not an unprimeable number, because it can be changed into a prime (414407171) 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, 158646 + ... + 161236.

It is an arithmetic number, because the mean of its divisors is an integer number (27433728).

Almost surely, 2^414407131 is an apocalyptic number.

414407131 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

414407131 is a deficient number, since it is larger than the sum of its proper divisors (24532517).

414407131 is a wasteful number, since it uses less digits than its factorization.

414407131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 414407131 is about 20356.9921894174. The cubic root of 414407131 is about 745.5482240181.

The spelling of 414407131 in words is "four hundred fourteen million, four hundred seven thousand, one hundred thirty-one".