481600 has 84 divisors (see below), whose sum is σ = 1385824. Its totient is φ = 161280.

The previous prime is 481589. The next prime is 481619. The reversal of 481600 is 6184.

481600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

481600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11179 + ... + 11221.

2⁴⁸¹⁶⁰⁰ is an apocalyptic number.

481600 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 481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692912).

481600 is an abundant number, since it is smaller than the sum of its proper divisors (904224).

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

481600 is a wasteful number, since it uses less digits than its factorization.

481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 481600 is about 693.9740629159. The cubic root of 481600 is about 78.3842533973.

Adding to 481600 its reverse (6184), we get a palindrome (487784).

It can be divided in two parts, 481 and 600, that added together give a triangular number (1081 = T₄₆).

The spelling of 481600 in words is "four hundred eighty-one thousand, six hundred".