414484047 has 40 divisors (see below), whose sum is σ = 639600192. Its totient is φ = 267321600.

The previous prime is 414484039. The next prime is 414484093. The reversal of 414484047 is 740484414.

It is not a de Polignac number, because 414484047 - 2³ = 414484039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414484247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 454522 + ... + 455432.

Almost surely, 2^414484047 is an apocalyptic number.

414484047 is a deficient number, since it is larger than the sum of its proper divisors (225116145).

414484047 is a wasteful number, since it uses less digits than its factorization.

414484047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 414484047 is about 20358.8812806598. The cubic root of 414484047 is about 745.5943469694.

The spelling of 414484047 in words is "four hundred fourteen million, four hundred eighty-four thousand, forty-seven".