478412220 has 288 divisors, whose sum is σ = 1640407104. Its totient is φ = 103403520.

The previous prime is 478412219. The next prime is 478412287. The reversal of 478412220 is 22214874.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3491992 + ... + 3492128.

It is an arithmetic number, because the mean of its divisors is an integer number (5695858).

Almost surely, 2^478412220 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 478412220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820203552).

478412220 is an abundant number, since it is smaller than the sum of its proper divisors (1161994884).

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

478412220 is a wasteful number, since it uses less digits than its factorization.

478412220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 478412220 is about 21872.6363294414. The cubic root of 478412220 is about 782.1092483689.

The spelling of 478412220 in words is "four hundred seventy-eight million, four hundred twelve thousand, two hundred twenty".