478886220 has 144 divisors (see below), whose sum is σ = 1529079552. Its totient is φ = 121080960.

The previous prime is 478886207. The next prime is 478886231. The reversal of 478886220 is 22688874.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 541899 + ... + 542781.

It is an arithmetic number, because the mean of its divisors is an integer number (10618608).

Almost surely, 2^478886220 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 478886220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764539776).

478886220 is an abundant number, since it is smaller than the sum of its proper divisors (1050193332).

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

478886220 is a wasteful number, since it uses less digits than its factorization.

478886220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 478886220 is about 21883.4691034123. The cubic root of 478886220 is about 782.3674618245.

The spelling of 478886220 in words is "four hundred seventy-eight million, eight hundred eighty-six thousand, two hundred twenty".