481840800 has 576 divisors, whose sum is σ = 1979873280. Its totient is φ = 99348480.

The previous prime is 481840763. The next prime is 481840831. The reversal of 481840800 is 8048184.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11205579 + ... + 11205621.

It is an arithmetic number, because the mean of its divisors is an integer number (3437280).

Almost surely, 2^481840800 is an apocalyptic number.

481840800 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 481840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989936640).

481840800 is an abundant number, since it is smaller than the sum of its proper divisors (1498032480).

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

481840800 is a wasteful number, since it uses less digits than its factorization.

481840800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 481840800 is about 21950.8724200201. The cubic root of 481840800 is about 783.9731526278.

Adding to 481840800 its reverse (8048184), we get a palindrome (489888984).

The spelling of 481840800 in words is "four hundred eighty-one million, eight hundred forty thousand, eight hundred".