481087198800 has 720 divisors, whose sum is σ = 1872544941120. Its totient is φ = 116617605120.

The previous prime is 481087198793. The next prime is 481087198829. The reversal of 481087198800 is 8891780184.

It is a happy number.

481087198800 is a `hidden beast` number, since 481 + 0 + 8 + 71 + 98 + 8 + 0 + 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 748191279 + ... + 748191921.

Almost surely, 2^481087198800 is an apocalyptic number.

481087198800 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 481087198800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936272470560).

481087198800 is an abundant number, since it is smaller than the sum of its proper divisors (1391457742320).

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

481087198800 is a wasteful number, since it uses less digits than its factorization.

481087198800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The spelling of 481087198800 in words is "four hundred eighty-one billion, eighty-seven million, one hundred ninety-eight thousand, eight hundred".