478585224 has 192 divisors, whose sum is σ = 1556755200. Its totient is φ = 131217408.

The previous prime is 478585193. The next prime is 478585259. The reversal of 478585224 is 422585874.

478585224 is a `hidden beast` number, since 4 + 78 + 58 + 522 + 4 = 666.

It is a super-2 number, since 2×478585224² = 458087633262260352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 478585224.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 301537 + ... + 303119.

It is an arithmetic number, because the mean of its divisors is an integer number (8108100).

Almost surely, 2^478585224 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 478585224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778377600).

478585224 is an abundant number, since it is smaller than the sum of its proper divisors (1078169976).

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

478585224 is a wasteful number, since it uses less digits than its factorization.

478585224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1637 counting only the distinct ones).

The product of its digits is 716800, while the sum is 45.

The square root of 478585224 is about 21876.5907764441. The cubic root of 478585224 is about 782.2035127682.

It can be divided in two parts, 4785 and 85224, that added together give a palindrome (90009).

The spelling of 478585224 in words is "four hundred seventy-eight million, five hundred eighty-five thousand, two hundred twenty-four".