478368224 has 48 divisors (see below), whose sum is σ = 990889200. Its totient is φ = 226996224.

The previous prime is 478368221. The next prime is 478368257. The reversal of 478368224 is 422863874.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478368221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50384 + ... + 59120.

It is an arithmetic number, because the mean of its divisors is an integer number (20643525).

Almost surely, 2^478368224 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 478368224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495444600).

478368224 is an abundant number, since it is smaller than the sum of its proper divisors (512520976).

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

478368224 is a wasteful number, since it uses less digits than its factorization.

478368224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8835 (or 8827 counting only the distinct ones).

The product of its digits is 516096, while the sum is 44.

The square root of 478368224 is about 21871.6305747880. The cubic root of 478368224 is about 782.0852727179.

The spelling of 478368224 in words is "four hundred seventy-eight million, three hundred sixty-eight thousand, two hundred twenty-four".