414541404 has 72 divisors (see below), whose sum is σ = 1064870352. Its totient is φ = 135959040.

The previous prime is 414541367. The next prime is 414541417. The reversal of 414541404 is 404145414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 736027 + ... + 736589.

It is an arithmetic number, because the mean of its divisors is an integer number (14789866).

Almost surely, 2^414541404 is an apocalyptic number.

It is an amenable number.

414541404 is an abundant number, since it is smaller than the sum of its proper divisors (650328948).

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

414541404 is a wasteful number, since it uses less digits than its factorization.

414541404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 414541404 is about 20360.2898800582. The cubic root of 414541404 is about 745.6287375833.

Adding to 414541404 its reverse (404145414), we get a palindrome (818686818).

The spelling of 414541404 in words is "four hundred fourteen million, five hundred forty-one thousand, four hundred four".