414838224 has 60 divisors (see below), whose sum is σ = 1169886432. Its totient is φ = 137217600.

The previous prime is 414838219. The next prime is 414838231. The reversal of 414838224 is 422838414.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7869 + ... + 29859.

Almost surely, 2^414838224 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 414838224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584943216).

414838224 is an abundant number, since it is smaller than the sum of its proper divisors (755048208).

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

414838224 is a wasteful number, since it uses less digits than its factorization.

414838224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22136 (or 22127 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 414838224 is about 20367.5777646730. The cubic root of 414838224 is about 745.8066568600.

The spelling of 414838224 in words is "four hundred fourteen million, eight hundred thirty-eight thousand, two hundred twenty-four".