481804675200 has 768 divisors, whose sum is σ = 1871499264000. Its totient is φ = 120708403200.

The previous prime is 481804675171. The next prime is 481804675213. The reversal of 481804675200 is 2576408184.

481804675200 is a `hidden beast` number, since 4 + 8 + 1 + 80 + 46 + 7 + 520 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 208482045 + ... + 208484355.

It is an arithmetic number, because the mean of its divisors is an integer number (2436848000).

Almost surely, 2^481804675200 is an apocalyptic number.

481804675200 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 481804675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935749632000).

481804675200 is an abundant number, since it is smaller than the sum of its proper divisors (1389694588800).

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

481804675200 is a wasteful number, since it uses less digits than its factorization.

481804675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 481804675200 in words is "four hundred eighty-one billion, eight hundred four million, six hundred seventy-five thousand, two hundred".