49224 has 32 divisors (see below), whose sum is σ = 141120. Its totient is φ = 14016.

The previous prime is 49223. The next prime is 49253. The reversal of 49224 is 42294.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 49224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22 + ... + 314.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

2⁴⁹²²⁴ 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 49224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70560).

49224 is an abundant number, since it is smaller than the sum of its proper divisors (91896).

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

49224 is a wasteful number, since it uses less digits than its factorization.

49224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 305 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 49224 is about 221.8648237103. The cubic root of 49224 is about 36.6487331954.

The spelling of 49224 in words is "forty-nine thousand, two hundred twenty-four".