481443200 has 96 divisors (see below), whose sum is σ = 1359280560. Its totient is φ = 165058560.

The previous prime is 481443161. The next prime is 481443203. The reversal of 481443200 is 2344184.

It is a self number, because there is not a number n which added to its sum of digits gives 481443200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481443203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11654 + ... + 33146.

Almost surely, 2^481443200 is an apocalyptic number.

481443200 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 481443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679640280).

481443200 is an abundant number, since it is smaller than the sum of its proper divisors (877837360).

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

481443200 is a wasteful number, since it uses less digits than its factorization.

481443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21524 (or 21507 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 481443200 is about 21941.8139632985. The cubic root of 481443200 is about 783.7574565570.

Adding to 481443200 its reverse (2344184), we get a palindrome (483787384).

The spelling of 481443200 in words is "four hundred eighty-one million, four hundred forty-three thousand, two hundred".