414064314 has 12 divisors (see below), whose sum is σ = 897139386. Its totient is φ = 138021432.

The previous prime is 414064271. The next prime is 414064319. The reversal of 414064314 is 413460414.

414064314 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 643 + 14 = 666.

It can be written as a sum of positive squares in only one way, i.e., 369908289 + 44156025 = 19233^2 + 6645^2 .

It is a super-2 number, since 2×414064314² = 342898512256581192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414064319) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11501769 + ... + 11501804.

Almost surely, 2^414064314 is an apocalyptic number.

414064314 is an abundant number, since it is smaller than the sum of its proper divisors (483075072).

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

414064314 is a wasteful number, since it uses less digits than its factorization.

414064314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23003581 (or 23003578 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 414064314 is about 20348.5703183295. The cubic root of 414064314 is about 745.3425831587.

The spelling of 414064314 in words is "four hundred fourteen million, sixty-four thousand, three hundred fourteen".