414961947 has 10 divisors (see below), whose sum is σ = 619881548. Its totient is φ = 276641244.

The previous prime is 414961933. The next prime is 414961949. The reversal of 414961947 is 749169414.

It is not a de Polignac number, because 414961947 - 2⁷ = 414961819 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414961949) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2561413 + ... + 2561574.

Almost surely, 2^414961947 is an apocalyptic number.

414961947 is a deficient number, since it is larger than the sum of its proper divisors (204919601).

414961947 is an equidigital number, since it uses as much as digits as its factorization.

414961947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5122999 (or 5122990 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 414961947 is about 20370.6147919006. The cubic root of 414961947 is about 745.8807936036.

It can be divided in two parts, 414 and 961947, that added together give a square (962361 = 981²).

The spelling of 414961947 in words is "four hundred fourteen million, nine hundred sixty-one thousand, nine hundred forty-seven".