480820200 has 192 divisors, whose sum is σ = 1714176000. Its totient is φ = 109213440.

The previous prime is 480820189. The next prime is 480820237. The reversal of 480820200 is 2028084.

It is a super-3 number, since 3×480820200³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1003561 + ... + 1004039.

It is an arithmetic number, because the mean of its divisors is an integer number (8928000).

Almost surely, 2^480820200 is an apocalyptic number.

480820200 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 480820200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857088000).

480820200 is an abundant number, since it is smaller than the sum of its proper divisors (1233355800).

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

480820200 is a wasteful number, since it uses less digits than its factorization.

480820200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 480820200 is about 21927.6127291596. The cubic root of 480820200 is about 783.4192431304.

Adding to 480820200 its reverse (2028084), we get a palindrome (482848284).

The spelling of 480820200 in words is "four hundred eighty million, eight hundred twenty thousand, two hundred".