414876961 has 2 divisors, whose sum is σ = 414876962. Its totient is φ = 414876960.

The previous prime is 414876949. The next prime is 414876997. The reversal of 414876961 is 169678414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 348046336 + 66830625 = 18656^2 + 8175^2 .

It is a cyclic number.

It is not a de Polignac number, because 414876961 - 2¹¹ = 414874913 is a prime.

It is not a weakly prime, because it can be changed into another prime (414876061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207438480 + 207438481.

It is an arithmetic number, because the mean of its divisors is an integer number (207438481).

Almost surely, 2^414876961 is an apocalyptic number.

It is an amenable number.

414876961 is a deficient number, since it is larger than the sum of its proper divisors (1).

414876961 is an equidigital number, since it uses as much as digits as its factorization.

414876961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 290304, while the sum is 46.

The square root of 414876961 is about 20368.5286901141. The cubic root of 414876961 is about 745.8298702571.

The spelling of 414876961 in words is "four hundred fourteen million, eight hundred seventy-six thousand, nine hundred sixty-one".