481741800 has 96 divisors (see below), whose sum is σ = 1529902080. Its totient is φ = 125324800.

The previous prime is 481741769. The next prime is 481741807. The reversal of 481741800 is 8147184.

It is not an unprimeable number, because it can be changed into a prime (481741807) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14809 + ... + 34391.

It is an arithmetic number, because the mean of its divisors is an integer number (15936480).

Almost surely, 2^481741800 is an apocalyptic number.

481741800 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 481741800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764951040).

481741800 is an abundant number, since it is smaller than the sum of its proper divisors (1048160280).

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

481741800 is a wasteful number, since it uses less digits than its factorization.

481741800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19643 (or 19634 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 481741800 is about 21948.6172685206. The cubic root of 481741800 is about 783.9194567056.

Adding to 481741800 its reverse (8147184), we get a palindrome (489888984).

The spelling of 481741800 in words is "four hundred eighty-one million, seven hundred forty-one thousand, eight hundred".