414416314 has 16 divisors (see below), whose sum is σ = 671442408. Its totient is φ = 190697472.

The previous prime is 414416297. The next prime is 414416347. The reversal of 414416314 is 413614414.

It can be written as a sum of positive squares in 4 ways, for example, as 195524289 + 218892025 = 13983^2 + 14795^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14887 + ... + 32410.

Almost surely, 2^414416314 is an apocalyptic number.

414416314 is a deficient number, since it is larger than the sum of its proper divisors (257026094).

414416314 is a wasteful number, since it uses less digits than its factorization.

414416314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47649.

The product of its digits is 4608, while the sum is 28.

The square root of 414416314 is about 20357.2177372056. The cubic root of 414416314 is about 745.5537309365.

The spelling of 414416314 in words is "four hundred fourteen million, four hundred sixteen thousand, three hundred fourteen".