224000420 has 48 divisors (see below), whose sum is σ = 554953728. Its totient is φ = 74321280.

The previous prime is 224000369. The next prime is 224000423. The reversal of 224000420 is 24000422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 224000395 and 224000404.

It is not an unprimeable number, because it can be changed into a prime (224000423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21467 + ... + 30146.

It is an arithmetic number, because the mean of its divisors is an integer number (11561536).

Almost surely, 2^224000420 is an apocalyptic number.

224000420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224000420 is an abundant number, since it is smaller than the sum of its proper divisors (330953308).

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

224000420 is a wasteful number, since it uses less digits than its factorization.

224000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51660 (or 51658 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 224000420 is about 14966.6435783044. The cubic root of 224000420 is about 607.3181739485.

Adding to 224000420 its reverse (24000422), we get a palindrome (248000842).

The spelling of 224000420 in words is "two hundred twenty-four million, four hundred twenty", and thus it is an aban number.