224106480 has 320 divisors, whose sum is σ = 869944320. Its totient is φ = 52614144.

The previous prime is 224106439. The next prime is 224106523. The reversal of 224106480 is 84601422.

224106480 is a `hidden beast` number, since 2 + 2 + 4 + 10 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 645667 + ... + 646013.

It is an arithmetic number, because the mean of its divisors is an integer number (2718576).

Almost surely, 2^224106480 is an apocalyptic number.

224106480 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 224106480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434972160).

224106480 is an abundant number, since it is smaller than the sum of its proper divisors (645837840).

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

224106480 is a wasteful number, since it uses less digits than its factorization.

224106480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 224106480 is about 14970.1863715854. The cubic root of 224106480 is about 607.4140100816.

The spelling of 224106480 in words is "two hundred twenty-four million, one hundred six thousand, four hundred eighty".