480542200 has 96 divisors (see below), whose sum is σ = 1160818560. Its totient is φ = 184867200.

The previous prime is 480542177. The next prime is 480542233. The reversal of 480542200 is 2245084.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610207 + ... + 610993.

It is an arithmetic number, because the mean of its divisors is an integer number (12091860).

Almost surely, 2^480542200 is an apocalyptic number.

480542200 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 480542200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580409280).

480542200 is an abundant number, since it is smaller than the sum of its proper divisors (680276360).

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

480542200 is a wasteful number, since it uses less digits than its factorization.

480542200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 480542200 is about 21921.2727732675. The cubic root of 480542200 is about 783.2682285814.

Adding to 480542200 its reverse (2245084), we get a palindrome (482787284).

The spelling of 480542200 in words is "four hundred eighty million, five hundred forty-two thousand, two hundred".