481320000 has 420 divisors, whose sum is σ = 1980566016. Its totient is φ = 109440000.

The previous prime is 481319999. The next prime is 481320001. The reversal of 481320000 is 23184.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (481319999) and next prime (481320001).

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (481320001) 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 59 ways as a sum of consecutive naturals, for example, 2519905 + ... + 2520095.

Almost surely, 2^481320000 is an apocalyptic number.

481320000 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 481320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990283008).

481320000 is an abundant number, since it is smaller than the sum of its proper divisors (1499246016).

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

481320000 is a wasteful number, since it uses less digits than its factorization.

481320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 481320000 is about 21939.0063585387. The cubic root of 481320000 is about 783.6905970560.

Adding to 481320000 its reverse (23184), we get a palindrome (481343184).

The spelling of 481320000 in words is "four hundred eighty-one million, three hundred twenty thousand".