416149327 has 32 divisors (see below), whose sum is σ = 491028480. Its totient is φ = 348897120.

The previous prime is 416149319. The next prime is 416149337. The reversal of 416149327 is 723941614.

It is not a de Polignac number, because 416149327 - 2³ = 416149319 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416149337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 939168 + ... + 939610.

It is an arithmetic number, because the mean of its divisors is an integer number (15344640).

Almost surely, 2^416149327 is an apocalyptic number.

416149327 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

416149327 is a deficient number, since it is larger than the sum of its proper divisors (74879153).

416149327 is a wasteful number, since it uses less digits than its factorization.

416149327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603.

The product of its digits is 36288, while the sum is 37.

The square root of 416149327 is about 20399.7384051855. The cubic root of 416149327 is about 746.5915419430.

The spelling of 416149327 in words is "four hundred sixteen million, one hundred forty-nine thousand, three hundred twenty-seven".