414313104 has 40 divisors (see below), whose sum is σ = 1088457120. Its totient is φ = 135762688.

The previous prime is 414313061. The next prime is 414313117. The reversal of 414313104 is 401313414.

It is a super-2 number, since 2×414313104² = 343310696292229632, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 70317 + ... + 75980.

It is an arithmetic number, because the mean of its divisors is an integer number (27211428).

Almost surely, 2^414313104 is an apocalyptic number.

It is an amenable number.

414313104 is an abundant number, since it is smaller than the sum of its proper divisors (674144016).

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

414313104 is a wasteful number, since it uses less digits than its factorization.

414313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146367 (or 146361 counting only the distinct ones).

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

The square root of 414313104 is about 20354.6826062211. The cubic root of 414313104 is about 745.4918326418.

Adding to 414313104 its reverse (401313414), we get a palindrome (815626518).

The spelling of 414313104 in words is "four hundred fourteen million, three hundred thirteen thousand, one hundred four".