224689400 has 96 divisors (see below), whose sum is σ = 569494800. Its totient is φ = 81945600.

The previous prime is 224689393. The next prime is 224689403. The reversal of 224689400 is 4986422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224689403) 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, 230915 + ... + 231885.

Almost surely, 2^224689400 is an apocalyptic number.

224689400 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 224689400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284747400).

224689400 is an abundant number, since it is smaller than the sum of its proper divisors (344805400).

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

224689400 is a wasteful number, since it uses less digits than its factorization.

224689400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 224689400 is about 14989.6430911480. The cubic root of 224689400 is about 607.9401992777.

The spelling of 224689400 in words is "two hundred twenty-four million, six hundred eighty-nine thousand, four hundred".