414613122 has 64 divisors (see below), whose sum is σ = 1037297664. Its totient is φ = 107331840.

The previous prime is 414613103. The next prime is 414613163. The reversal of 414613122 is 221316414.

It is a junction number, because it is equal to n+sod(n) for n = 414613092 and 414613101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154363 + ... + 157025.

It is an arithmetic number, because the mean of its divisors is an integer number (16207776).

Almost surely, 2^414613122 is an apocalyptic number.

414613122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 414613122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518648832).

414613122 is an abundant number, since it is smaller than the sum of its proper divisors (622684542).

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

414613122 is a wasteful number, since it uses less digits than its factorization.

414613122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023.

The product of its digits is 1152, while the sum is 24.

The square root of 414613122 is about 20362.0510263578. The cubic root of 414613122 is about 745.6717344289.

Adding to 414613122 its reverse (221316414), we get a palindrome (635929536).

The spelling of 414613122 in words is "four hundred fourteen million, six hundred thirteen thousand, one hundred twenty-two".