478680300 has 576 divisors, whose sum is σ = 1955430400. Its totient is φ = 97977600.

The previous prime is 478680299. The next prime is 478680311. The reversal of 478680300 is 3086874.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11132079 + ... + 11132121.

Almost surely, 2^478680300 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 478680300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977715200).

478680300 is an abundant number, since it is smaller than the sum of its proper divisors (1476750100).

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

478680300 is a wasteful number, since it uses less digits than its factorization.

478680300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 478680300 is about 21878.7636762227. The cubic root of 478680300 is about 782.2553069965.

The spelling of 478680300 in words is "four hundred seventy-eight million, six hundred eighty thousand, three hundred".