414104004 has 36 divisors (see below), whose sum is σ = 1047797296. Its totient is φ = 137898288.

The previous prime is 414103997. The next prime is 414104027. The reversal of 414104004 is 400401414.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×414104004² = 342964252257664032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35307 + ... + 45549.

Almost surely, 2^414104004 is an apocalyptic number.

It is an amenable number.

414104004 is an abundant number, since it is smaller than the sum of its proper divisors (633693292).

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

414104004 is a wasteful number, since it uses less digits than its factorization.

414104004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11376 (or 11371 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 414104004 is about 20349.5455477512. The cubic root of 414104004 is about 745.3663972547.

Adding to 414104004 its reverse (400401414), we get a palindrome (814505418).

The spelling of 414104004 in words is "four hundred fourteen million, one hundred four thousand, four".