424372224 has 144 divisors (see below), whose sum is σ = 1206878400. Its totient is φ = 132579328.

The previous prime is 424372213. The next prime is 424372231. The reversal of 424372224 is 422273424.

It is a junction number, because it is equal to n+sod(n) for n = 424372191 and 424372200.

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, 1775497 + ... + 1775735.

It is an arithmetic number, because the mean of its divisors is an integer number (8381100).

Almost surely, 2^424372224 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 424372224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603439200).

424372224 is an abundant number, since it is smaller than the sum of its proper divisors (782506176).

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

424372224 is a wasteful number, since it uses less digits than its factorization.

424372224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 261 counting only the distinct ones).

The product of its digits is 21504, while the sum is 30.

The square root of 424372224 is about 20600.2966968925. The cubic root of 424372224 is about 751.4769261210.

It can be divided in two parts, 4243 and 72224, that added together give a palindrome (76467).

The spelling of 424372224 in words is "four hundred twenty-four million, three hundred seventy-two thousand, two hundred twenty-four".