414013314 has 64 divisors (see below), whose sum is σ = 975744000. Its totient is φ = 115456320.

The previous prime is 414013297. The next prime is 414013333. The reversal of 414013314 is 413310414.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427659 + ... + 428625.

It is an arithmetic number, because the mean of its divisors is an integer number (15246000).

Almost surely, 2^414013314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414013314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487872000).

414013314 is an abundant number, since it is smaller than the sum of its proper divisors (561730686).

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

414013314 is a wasteful number, since it uses less digits than its factorization.

414013314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 414013314 is about 20347.3171204461. The cubic root of 414013314 is about 745.3119808012.

Adding to 414013314 its reverse (413310414), we get a palindrome (827323728).

The spelling of 414013314 in words is "four hundred fourteen million, thirteen thousand, three hundred fourteen".