478579200 has 360 divisors, whose sum is σ = 1754616864. Its totient is φ = 114892800.

The previous prime is 478579187. The next prime is 478579217. The reversal of 478579200 is 2975874.

478579200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4646349 + ... + 4646451.

Almost surely, 2^478579200 is an apocalyptic number.

478579200 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 478579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877308432).

478579200 is an abundant number, since it is smaller than the sum of its proper divisors (1276037664).

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

478579200 is a wasteful number, since it uses less digits than its factorization.

478579200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 478579200 is about 21876.4530945947. The cubic root of 478579200 is about 782.2002308632.

The spelling of 478579200 in words is "four hundred seventy-eight million, five hundred seventy-nine thousand, two hundred".