224000432 has 60 divisors (see below), whose sum is σ = 465267096. Its totient is φ = 104448000.

The previous prime is 224000431. The next prime is 224000453. The reversal of 224000432 is 234000422.

It is a Harshad number since it is a multiple of its sum of digits (17).

224000432 is a modest number, since divided by 432 gives 224 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 224000432.

It is not an unprimeable number, because it can be changed into a prime (224000431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 892307 + ... + 892557.

Almost surely, 2^224000432 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 224000432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232633548).

224000432 is an abundant number, since it is smaller than the sum of its proper divisors (241266664).

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

224000432 is a wasteful number, since it uses less digits than its factorization.

224000432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 224000432 is about 14966.6439791959. The cubic root of 224000432 is about 607.3181847935.

Adding to 224000432 its reverse (234000422), we get a palindrome (458000854).

The spelling of 224000432 in words is "two hundred twenty-four million, four hundred thirty-two", and thus it is an aban number.