478485800 has 96 divisors (see below), whose sum is σ = 1214948280. Its totient is φ = 174182400.

The previous prime is 478485781. The next prime is 478485841. The reversal of 478485800 is 8584874.

It can be written as a sum of positive squares in 12 ways, for example, as 38912644 + 439573156 = 6238^2 + 20966^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188540 + ... + 191060.

Almost surely, 2^478485800 is an apocalyptic number.

478485800 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 478485800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607474140).

478485800 is an abundant number, since it is smaller than the sum of its proper divisors (736462480).

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

478485800 is a wasteful number, since it uses less digits than its factorization.

478485800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 44.

The square root of 478485800 is about 21874.3182750915. The cubic root of 478485800 is about 782.1493425569.

The spelling of 478485800 in words is "four hundred seventy-eight million, four hundred eighty-five thousand, eight hundred".