413146314 has 24 divisors (see below), whose sum is σ = 1023029280. Its totient is φ = 118041768.

The previous prime is 413146303. The next prime is 413146319. The reversal of 413146314 is 413641314.

413146314 is a `hidden beast` number, since 4 + 13 + 14 + 631 + 4 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (413146319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1639344 + ... + 1639595.

It is an arithmetic number, because the mean of its divisors is an integer number (42626220).

Almost surely, 2^413146314 is an apocalyptic number.

413146314 is an abundant number, since it is smaller than the sum of its proper divisors (609882966).

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

413146314 is a wasteful number, since it uses less digits than its factorization.

413146314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278954 (or 3278951 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 413146314 is about 20326.0009347633. Note that the first 3 decimals coincide. The cubic root of 413146314 is about 744.7913557732.

Adding to 413146314 its reverse (413641314), we get a palindrome (826787628).

The spelling of 413146314 in words is "four hundred thirteen million, one hundred forty-six thousand, three hundred fourteen".