414400104 has 32 divisors (see below), whose sum is σ = 1151112000. Its totient is φ = 138133296.

The previous prime is 414400093. The next prime is 414400121. The reversal of 414400104 is 401004414.

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 7 ways as a sum of consecutive naturals, for example, 959044 + ... + 959475.

It is an arithmetic number, because the mean of its divisors is an integer number (35972250).

Almost surely, 2^414400104 is an apocalyptic number.

It is an amenable number.

414400104 is an abundant number, since it is smaller than the sum of its proper divisors (736711896).

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

414400104 is a wasteful number, since it uses less digits than its factorization.

414400104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918534 (or 1918524 counting only the distinct ones).

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

The square root of 414400104 is about 20356.8195944258. The cubic root of 414400104 is about 745.5440099682.

Adding to 414400104 its reverse (401004414), we get a palindrome (815404518).

The spelling of 414400104 in words is "four hundred fourteen million, four hundred thousand, one hundred four".