224405000 has 80 divisors (see below), whose sum is σ = 540436380. Its totient is φ = 87264000.

The previous prime is 224404979. The next prime is 224405017. The reversal of 224405000 is 504422.

It can be written as a sum of positive squares in 10 ways, for example, as 25989604 + 198415396 = 5098^2 + 14086^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 224405000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 184394 + ... + 185606.

Almost surely, 2^224405000 is an apocalyptic number.

224405000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270218190).

224405000 is an abundant number, since it is smaller than the sum of its proper divisors (316031380).

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

224405000 is a wasteful number, since it uses less digits than its factorization.

224405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 224405000 is about 14980.1535372639. The cubic root of 224405000 is about 607.6835914263.

Adding to 224405000 its reverse (504422), we get a palindrome (224909422).

It can be divided in two parts, 224 and 405000, that added together give a cube (405224 = 74³).

The spelling of 224405000 in words is "two hundred twenty-four million, four hundred five thousand".