414520467 has 16 divisors (see below), whose sum is σ = 577195008. Its totient is φ = 264116160.

The previous prime is 414520459. The next prime is 414520481. The reversal of 414520467 is 764025414.

It is not a de Polignac number, because 414520467 - 2³ = 414520459 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414520567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163167 + ... + 165687.

It is an arithmetic number, because the mean of its divisors is an integer number (36074688).

Almost surely, 2^414520467 is an apocalyptic number.

414520467 is a deficient number, since it is larger than the sum of its proper divisors (162674541).

414520467 is a wasteful number, since it uses less digits than its factorization.

414520467 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930.

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 414520467 is about 20359.7757109453. The cubic root of 414520467 is about 745.6161843606.

The spelling of 414520467 in words is "four hundred fourteen million, five hundred twenty thousand, four hundred sixty-seven".