414034104 has 64 divisors (see below), whose sum is σ = 1132289280. Its totient is φ = 125120000.

The previous prime is 414034087. The next prime is 414034151. The reversal of 414034104 is 401430414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103909 + ... + 107819.

It is an arithmetic number, because the mean of its divisors is an integer number (17692020).

Almost surely, 2^414034104 is an apocalyptic number.

414034104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414034104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566144640).

414034104 is an abundant number, since it is smaller than the sum of its proper divisors (718255176).

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

414034104 is a wasteful number, since it uses less digits than its factorization.

414034104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332 (or 4328 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 414034104 is about 20347.8279921961. The cubic root of 414034104 is about 745.3244560656.

Adding to 414034104 its reverse (401430414), we get a palindrome (815464518).

The spelling of 414034104 in words is "four hundred fourteen million, thirty-four thousand, one hundred four".