478297800 has 144 divisors (see below), whose sum is σ = 1645714980. Its totient is φ = 124416000.

The previous prime is 478297769. The next prime is 478297801. The reversal of 478297800 is 8792874.

478297800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 171557604 + 306740196 = 13098^2 + 17514^2 .

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

It is not an unprimeable number, because it can be changed into a prime (478297801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 70560 + ... + 77040.

Almost surely, 2^478297800 is an apocalyptic number.

478297800 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 478297800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822857490).

478297800 is an abundant number, since it is smaller than the sum of its proper divisors (1167417180).

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

478297800 is a wasteful number, since it uses less digits than its factorization.

478297800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6544 (or 6532 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 478297800 is about 21870.0205761220. The cubic root of 478297800 is about 782.0468920497.

The spelling of 478297800 in words is "four hundred seventy-eight million, two hundred ninety-seven thousand, eight hundred".