224384004 has 72 divisors (see below), whose sum is σ = 614654040. Its totient is φ = 69016896.

The previous prime is 224383993. The next prime is 224384009. The reversal of 224384004 is 400483422.

It is a happy number.

224384004 is a `hidden beast` number, since 224 + 38 + 400 + 4 = 666.

224384004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 134513604 + 89870400 = 11598^2 + 9480^2 .

It is not an unprimeable number, because it can be changed into a prime (224384009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77674 + ... + 80510.

Almost surely, 2^224384004 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 224384004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307327020).

224384004 is an abundant number, since it is smaller than the sum of its proper divisors (390270036).

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

224384004 is a wasteful number, since it uses less digits than its factorization.

224384004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 224384004 is about 14979.4527269857. The cubic root of 224384004 is about 607.6646386064.

The spelling of 224384004 in words is "two hundred twenty-four million, three hundred eighty-four thousand, four".