478183680 has 432 divisors, whose sum is σ = 1857063936. Its totient is φ = 112803840.

The previous prime is 478183663. The next prime is 478183691. The reversal of 478183680 is 86381874.

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, 4642509 + ... + 4642611.

Almost surely, 2^478183680 is an apocalyptic number.

478183680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928531968).

478183680 is an abundant number, since it is smaller than the sum of its proper divisors (1378880256).

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

478183680 is a wasteful number, since it uses less digits than its factorization.

478183680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 478183680 is about 21867.4113694328. The cubic root of 478183680 is about 781.9846893172.

The spelling of 478183680 in words is "four hundred seventy-eight million, one hundred eighty-three thousand, six hundred eighty".