414459967 has 4 divisors (see below), whose sum is σ = 428751720. Its totient is φ = 400168216.

The previous prime is 414459961. The next prime is 414460031. The reversal of 414459967 is 769954414.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 769954414 = 2 ⋅384977207.

It is not a de Polignac number, because 414459967 - 2¹¹ = 414457919 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414459967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414459961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7145833 + ... + 7145890.

It is an arithmetic number, because the mean of its divisors is an integer number (107187930).

Almost surely, 2^414459967 is an apocalyptic number.

414459967 is a deficient number, since it is larger than the sum of its proper divisors (14291753).

414459967 is a wasteful number, since it uses less digits than its factorization.

414459967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14291752.

The product of its digits is 1088640, while the sum is 49.

The square root of 414459967 is about 20358.2898839760. The cubic root of 414459967 is about 745.5799079259.

The spelling of 414459967 in words is "four hundred fourteen million, four hundred fifty-nine thousand, nine hundred sixty-seven".