414034404 has 48 divisors (see below), whose sum is σ = 1105671168. Its totient is φ = 118126368.

The previous prime is 414034399. The next prime is 414034409. The reversal of 414034404 is 404430414.

It is an interprime number because it is at equal distance from previous prime (414034399) and next prime (414034409).

It is not an unprimeable number, because it can be changed into a prime (414034409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62977 + ... + 69239.

It is an arithmetic number, because the mean of its divisors is an integer number (23034816).

Almost surely, 2^414034404 is an apocalyptic number.

It is an amenable number.

414034404 is an abundant number, since it is smaller than the sum of its proper divisors (691636764).

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

414034404 is a wasteful number, since it uses less digits than its factorization.

414034404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7064 (or 7062 counting only the distinct ones).

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

The square root of 414034404 is about 20347.8353639890. The cubic root of 414034404 is about 745.3246360808.

Adding to 414034404 its reverse (404430414), we get a palindrome (818464818).

The spelling of 414034404 in words is "four hundred fourteen million, thirty-four thousand, four hundred four".