601382224 has 40 divisors (see below), whose sum is σ = 1235947680. Its totient is φ = 282672000.

The previous prime is 601382213. The next prime is 601382231. The reversal of 601382224 is 422283106.

It is a junction number, because it is equal to n+sod(n) for n = 601382192 and 601382201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32274 + ... + 47374.

It is an arithmetic number, because the mean of its divisors is an integer number (30898692).

Almost surely, 2^601382224 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 601382224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617973840).

601382224 is an abundant number, since it is smaller than the sum of its proper divisors (634565456).

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

601382224 is a wasteful number, since it uses less digits than its factorization.

601382224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15259 (or 15253 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 601382224 is about 24523.0957262740. The cubic root of 601382224 is about 844.0798424051.

The spelling of 601382224 in words is "six hundred one million, three hundred eighty-two thousand, two hundred twenty-four".