481200 has 60 divisors (see below), whose sum is σ = 1545288. Its totient is φ = 128000.

The previous prime is 481199. The next prime is 481207. The reversal of 481200 is 2184.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 481200.

It is not an unprimeable number, because it can be changed into a prime (481207) 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 11 ways as a sum of consecutive naturals, for example, 1000 + ... + 1400.

2⁴⁸¹²⁰⁰ is an apocalyptic number.

481200 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 481200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772644).

481200 is an abundant number, since it is smaller than the sum of its proper divisors (1064088).

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

481200 is a wasteful number, since it uses less digits than its factorization.

481200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 481200 is about 693.6858078410. The cubic root of 481200 is about 78.3625463196.

Adding to 481200 its reverse (2184), we get a palindrome (483384).

It can be divided in two parts, 48 and 1200, that multiplied together give a square (57600 = 240²).

The spelling of 481200 in words is "four hundred eighty-one thousand, two hundred".