478233600 has 264 divisors, whose sum is σ = 1705724160. Its totient is φ = 117473280.

The previous prime is 478233599. The next prime is 478233607. The reversal of 478233600 is 6332874.

It is not an unprimeable number, because it can be changed into a prime (478233607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998161 + ... + 998639.

Almost surely, 2^478233600 is an apocalyptic number.

478233600 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 478233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852862080).

478233600 is an abundant number, since it is smaller than the sum of its proper divisors (1227490560).

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

478233600 is a wasteful number, since it uses less digits than its factorization.

478233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 478233600 is about 21868.5527641863. The cubic root of 478233600 is about 782.0119001423.

The spelling of 478233600 in words is "four hundred seventy-eight million, two hundred thirty-three thousand, six hundred".