414322404 has 48 divisors (see below), whose sum is σ = 980840448. Its totient is φ = 136109088.

The previous prime is 414322399. The next prime is 414322459. The reversal of 414322404 is 404223414.

It is a happy 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, 285609 + ... + 287055.

It is an arithmetic number, because the mean of its divisors is an integer number (20434176).

Almost surely, 2^414322404 is an apocalyptic number.

It is an amenable number.

414322404 is an abundant number, since it is smaller than the sum of its proper divisors (566518044).

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

414322404 is a wasteful number, since it uses less digits than its factorization.

414322404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 414322404 is about 20354.9110536008. The cubic root of 414322404 is about 745.4974105667.

Adding to 414322404 its reverse (404223414), we get a palindrome (818545818).

The spelling of 414322404 in words is "four hundred fourteen million, three hundred twenty-two thousand, four hundred four".