224648424 has 256 divisors, whose sum is σ = 838656000. Its totient is φ = 53809920.

The previous prime is 224648399. The next prime is 224648441. The reversal of 224648424 is 424846422.

It is a happy number.

224648424 is a `hidden beast` number, since 2 + 2 + 4 + 648 + 4 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215697 + ... + 216735.

It is an arithmetic number, because the mean of its divisors is an integer number (3276000).

Almost surely, 2^224648424 is an apocalyptic number.

224648424 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 224648424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419328000).

224648424 is an abundant number, since it is smaller than the sum of its proper divisors (614007576).

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

224648424 is a wasteful number, since it uses less digits than its factorization.

224648424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1075 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 224648424 is about 14988.2762184315. The cubic root of 224648424 is about 607.9032408927.

The spelling of 224648424 in words is "two hundred twenty-four million, six hundred forty-eight thousand, four hundred twenty-four".