478535428800 has 2352 divisors, whose sum is σ = 2197700171520. Its totient is φ = 100776960000.

The previous prime is 478535428793. The next prime is 478535428823. The reversal of 478535428800 is 8824535874.

478535428800 is a `hidden beast` number, since 4 + 7 + 8 + 5 + 354 + 288 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3169108725 + ... + 3169108875.

Almost surely, 2^478535428800 is an apocalyptic number.

478535428800 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 478535428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098850085760).

478535428800 is an abundant number, since it is smaller than the sum of its proper divisors (1719164742720).

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

478535428800 is a wasteful number, since it uses less digits than its factorization.

478535428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 478535428800 in words is "four hundred seventy-eight billion, five hundred thirty-five million, four hundred twenty-eight thousand, eight hundred".