413545314 has 32 divisors (see below), whose sum is σ = 1017959040. Its totient is φ = 109066752.

The previous prime is 413545277. The next prime is 413545333.

413545314 is nontrivially palindromic in base 10.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378159 + ... + 379250.

It is an arithmetic number, because the mean of its divisors is an integer number (31811220).

Almost surely, 2^413545314 is an apocalyptic number.

413545314 is an abundant number, since it is smaller than the sum of its proper divisors (604413726).

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

413545314 is a wasteful number, since it uses less digits than its factorization.

413545314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757434.

The product of its digits is 14400, while the sum is 30.

The square root of 413545314 is about 20335.8135809709. The cubic root of 413545314 is about 745.0310417527.

The spelling of 413545314 in words is "four hundred thirteen million, five hundred forty-five thousand, three hundred fourteen".