484552224 has 288 divisors, whose sum is σ = 1644499584. Its totient is φ = 133816320.

The previous prime is 484552199. The next prime is 484552261. The reversal of 484552224 is 422255484.

484552224 is a `hidden beast` number, since 4 + 84 + 552 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (102400) is a multiple of the sum of its prime factors (400).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1463739 + ... + 1464069.

It is an arithmetic number, because the mean of its divisors is an integer number (5710068).

Almost surely, 2^484552224 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 484552224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822249792).

484552224 is an abundant number, since it is smaller than the sum of its proper divisors (1159947360).

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

484552224 is a wasteful number, since it uses less digits than its factorization.

484552224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 389 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

The square root of 484552224 is about 22012.5469675819. The cubic root of 484552224 is about 785.4409325877.

The spelling of 484552224 in words is "four hundred eighty-four million, five hundred fifty-two thousand, two hundred twenty-four".