478795200 has 168 divisors, whose sum is σ = 1691902128. Its totient is φ = 117841920.

The previous prime is 478795189. The next prime is 478795223. The reversal of 478795200 is 2597874.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58564 + ... + 66236.

It is an arithmetic number, because the mean of its divisors is an integer number (10070846).

Almost surely, 2^478795200 is an apocalyptic number.

478795200 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 478795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845951064).

478795200 is an abundant number, since it is smaller than the sum of its proper divisors (1213106928).

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

478795200 is a wasteful number, since it uses less digits than its factorization.

478795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7711 (or 7696 counting only the distinct ones).

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

The square root of 478795200 is about 21881.3893525982. The cubic root of 478795200 is about 782.3178915261.

The spelling of 478795200 in words is "four hundred seventy-eight million, seven hundred ninety-five thousand, two hundred".