478926456472800 has 2304 divisors, whose sum is σ = 2134112968028160. Its totient is φ = 101162483712000.

The previous prime is 478926456472759. The next prime is 478926456472801. The reversal of 478926456472800 is 8274654629874.

478926456472800 is a `hidden beast` number, since 4 + 7 + 8 + 9 + 26 + 4 + 56 + 472 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478926456472801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 101445974440 + ... + 101445979160.

It is an arithmetic number, because the mean of its divisors is an integer number (926264309040).

Almost surely, 2^{478926456472800} is an apocalyptic number.

478926456472800 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 478926456472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067056484014080).

478926456472800 is an abundant number, since it is smaller than the sum of its proper divisors (1655186511555360).

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

478926456472800 is a wasteful number, since it uses less digits than its factorization.

478926456472800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5482 (or 5463 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 478926456472800 in words is "four hundred seventy-eight trillion, nine hundred twenty-six billion, four hundred fifty-six million, four hundred seventy-two thousand, eight hundred".