481140800 has 378 divisors, whose sum is σ = 1538996922. Its totient is φ = 147087360.

The previous prime is 481140799. The next prime is 481140809. The reversal of 481140800 is 8041184.

It can be written as a sum of positive squares in 3 ways, for example, as 72454144 + 408686656 = 8512^2 + 20216^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 481140800.

It is not an unprimeable number, because it can be changed into a prime (481140809) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 25323191 + ... + 25323209.

Almost surely, 2^481140800 is an apocalyptic number.

481140800 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 481140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769498461).

481140800 is an abundant number, since it is smaller than the sum of its proper divisors (1057856122).

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

481140800 is a wasteful number, since it uses less digits than its factorization.

481140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 481140800 is about 21934.9219282860. The cubic root of 481140800 is about 783.5933265033.

Adding to 481140800 its reverse (8041184), we get a palindrome (489181984).

The spelling of 481140800 in words is "four hundred eighty-one million, one hundred forty thousand, eight hundred".