478332403200 has 720 divisors, whose sum is σ = 1798119488880. Its totient is φ = 121261916160.

The previous prime is 478332403181. The next prime is 478332403201. The reversal of 478332403200 is 2304233874.

478332403200 is a `hidden beast` number, since 4 + 7 + 8 + 3 + 324 + 0 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478332403201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 223832532 + ... + 223834668.

It is an arithmetic number, because the mean of its divisors is an integer number (2497388179).

Almost surely, 2^478332403200 is an apocalyptic number.

478332403200 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 478332403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899059744440).

478332403200 is an abundant number, since it is smaller than the sum of its proper divisors (1319787085680).

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

478332403200 is a wasteful number, since it uses less digits than its factorization.

478332403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 478332403200 in words is "four hundred seventy-eight billion, three hundred thirty-two million, four hundred three thousand, two hundred".