224976 has 40 divisors (see below), whose sum is σ = 600160. Its totient is φ = 72576.

The previous prime is 224969. The next prime is 224977. The reversal of 224976 is 679422.

It is a happy number.

It is a super-2 number, since 2×224976² = 101228401152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224977) by changing a digit.

224976 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2010 + ... + 2118.

It is an arithmetic number, because the mean of its divisors is an integer number (15004).

2²²⁴⁹⁷⁶ 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 224976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300080).

224976 is an abundant number, since it is smaller than the sum of its proper divisors (375184).

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

224976 is a wasteful number, since it uses less digits than its factorization.

224976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 224976 is about 474.3163501293. The cubic root of 224976 is about 60.8198573181.

The spelling of 224976 in words is "two hundred twenty-four thousand, nine hundred seventy-six".