478183305600 has 3840 divisors, whose sum is σ = 2519663731200. Its totient is φ = 85996339200.

The previous prime is 478183305599. The next prime is 478183305629. The reversal of 478183305600 is 6503381874.

478183305600 is a `hidden beast` number, since 4 + 7 + 8 + 1 + 8 + 3 + 30 + 5 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4929724752 + ... + 4929724848.

It is an arithmetic number, because the mean of its divisors is an integer number (656162430).

Almost surely, 2^478183305600 is an apocalyptic number.

478183305600 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 478183305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259831865600).

478183305600 is an abundant number, since it is smaller than the sum of its proper divisors (2041480425600).

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

478183305600 is a wasteful number, since it uses less digits than its factorization.

478183305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 478183305600 in words is "four hundred seventy-eight billion, one hundred eighty-three million, three hundred five thousand, six hundred".