481800 has 96 divisors (see below), whose sum is σ = 1651680. Its totient is φ = 115200.

The previous prime is 481787. The next prime is 481801. The reversal of 481800 is 8184.

481800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 481800.

It is not an unprimeable number, because it can be changed into a prime (481801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6564 + ... + 6636.

It is an arithmetic number, because the mean of its divisors is an integer number (17205).

2⁴⁸¹⁸⁰⁰ is an apocalyptic number.

481800 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 481800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825840).

481800 is an abundant number, since it is smaller than the sum of its proper divisors (1169880).

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

481800 is a wasteful number, since it uses less digits than its factorization.

481800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 481800 is about 694.1181455631. The cubic root of 481800 is about 78.3951024290.

Adding to 481800 its reverse (8184), we get a palindrome (489984).

The spelling of 481800 in words is "four hundred eighty-one thousand, eight hundred".