414023104 has 112 divisors (see below), whose sum is σ = 943368192. Its totient is φ = 178560000.

The previous prime is 414023101. The next prime is 414023131. The reversal of 414023104 is 401320414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414023101) 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, 1331109 + ... + 1331419.

Almost surely, 2^414023104 is an apocalyptic number.

414023104 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 414023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471684096).

414023104 is an abundant number, since it is smaller than the sum of its proper divisors (529345088).

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

414023104 is a wasteful number, since it uses less digits than its factorization.

414023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 414023104 is about 20347.5576912808. The cubic root of 414023104 is about 745.3178554487.

Adding to 414023104 its reverse (401320414), we get a palindrome (815343518).

The spelling of 414023104 in words is "four hundred fourteen million, twenty-three thousand, one hundred four".