224479104 has 64 divisors (see below), whose sum is σ = 601098240. Its totient is φ = 74221056.

The previous prime is 224479081. The next prime is 224479109. The reversal of 224479104 is 401974422.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224479109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46467 + ... + 51069.

It is an arithmetic number, because the mean of its divisors is an integer number (9392160).

Almost surely, 2^224479104 is an apocalyptic number.

224479104 is a gapful number since it is divisible by the number (24) 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 224479104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300549120).

224479104 is an abundant number, since it is smaller than the sum of its proper divisors (376619136).

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

224479104 is a wasteful number, since it uses less digits than its factorization.

224479104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4747 (or 4735 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 224479104 is about 14982.6267389934. The cubic root of 224479104 is about 607.7504747086.

The spelling of 224479104 in words is "two hundred twenty-four million, four hundred seventy-nine thousand, one hundred four".