414840084 has 12 divisors (see below), whose sum is σ = 967960224. Its totient is φ = 138280024.

The previous prime is 414840073. The next prime is 414840089. The reversal of 414840084 is 480048414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414840089) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17284992 + ... + 17285015.

It is an arithmetic number, because the mean of its divisors is an integer number (80663352).

Almost surely, 2^414840084 is an apocalyptic number.

It is an amenable number.

414840084 is an abundant number, since it is smaller than the sum of its proper divisors (553120140).

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

414840084 is a wasteful number, since it uses less digits than its factorization.

414840084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34570014 (or 34570012 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 414840084 is about 20367.6234254269. The cubic root of 414840084 is about 745.8077715100.

Adding to 414840084 its reverse (480048414), we get a palindrome (894888498).

The spelling of 414840084 in words is "four hundred fourteen million, eight hundred forty thousand, eighty-four".