414042258 has 48 divisors (see below), whose sum is σ = 979115904. Its totient is φ = 116353440.

The previous prime is 414042257. The next prime is 414042289. The reversal of 414042258 is 852240414.

It is not an unprimeable number, because it can be changed into a prime (414042253) 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 23 ways as a sum of consecutive naturals, for example, 6391 + ... + 29477.

It is an arithmetic number, because the mean of its divisors is an integer number (20398248).

Almost surely, 2^414042258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414042258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489557952).

414042258 is an abundant number, since it is smaller than the sum of its proper divisors (565073646).

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

414042258 is a wasteful number, since it uses less digits than its factorization.

414042258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23167 (or 23160 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 414042258 is about 20348.0283565755. The cubic root of 414042258 is about 745.3293488476.

The spelling of 414042258 in words is "four hundred fourteen million, forty-two thousand, two hundred fifty-eight".