414085506 has 64 divisors (see below), whose sum is σ = 892684800. Its totient is φ = 127668096.

The previous prime is 414085501. The next prime is 414085513. The reversal of 414085506 is 605580414.

It is not an unprimeable number, because it can be changed into a prime (414085501) 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 31 ways as a sum of consecutive naturals, for example, 1012230 + ... + 1012638.

It is an arithmetic number, because the mean of its divisors is an integer number (13948200).

Almost surely, 2^414085506 is an apocalyptic number.

414085506 is an abundant number, since it is smaller than the sum of its proper divisors (478599294).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414085506 is a wasteful number, since it uses less digits than its factorization.

414085506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623.

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 414085506 is about 20349.0910362109. The cubic root of 414085506 is about 745.3552985993.

The spelling of 414085506 in words is "four hundred fourteen million, eighty-five thousand, five hundred six".