414119424 has 80 divisors (see below), whose sum is σ = 1107786240. Its totient is φ = 137472000.

The previous prime is 414119411. The next prime is 414119471. The reversal of 414119424 is 424911414.

It is a junction number, because it is equal to n+sod(n) for n = 414119391 and 414119400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 551049 + ... + 551799.

It is an arithmetic number, because the mean of its divisors is an integer number (13847328).

Almost surely, 2^414119424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414119424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553893120).

414119424 is an abundant number, since it is smaller than the sum of its proper divisors (693666816).

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

414119424 is an equidigital number, since it uses as much as digits as its factorization.

414119424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1115 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 414119424 is about 20349.9244224641. The cubic root of 414119424 is about 745.3756488816.

The spelling of 414119424 in words is "four hundred fourteen million, one hundred nineteen thousand, four hundred twenty-four".