413989314 has 16 divisors (see below), whose sum is σ = 854688000. Its totient is φ = 133544880.

The previous prime is 413989291. The next prime is 413989319.

413989314 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (413989319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1112689 + ... + 1113060.

It is an arithmetic number, because the mean of its divisors is an integer number (53418000).

Almost surely, 2^413989314 is an apocalyptic number.

413989314 is an abundant number, since it is smaller than the sum of its proper divisors (440698686).

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

413989314 is a wasteful number, since it uses less digits than its factorization.

413989314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225785.

The product of its digits is 93312, while the sum is 42.

The square root of 413989314 is about 20346.7273535574. The cubic root of 413989314 is about 745.2975788222.

The spelling of 413989314 in words is "four hundred thirteen million, nine hundred eighty-nine thousand, three hundred fourteen".