480465610200 has 480 divisors, whose sum is σ = 1685594972160. Its totient is φ = 126837446400.

The previous prime is 480465610199. The next prime is 480465610217. The reversal of 480465610200 is 2016564084.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1254479209 + ... + 1254479591.

It is an arithmetic number, because the mean of its divisors is an integer number (3511656192).

Almost surely, 2^480465610200 is an apocalyptic number.

480465610200 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 480465610200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842797486080).

480465610200 is an abundant number, since it is smaller than the sum of its proper divisors (1205129361960).

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

480465610200 is a wasteful number, since it uses less digits than its factorization.

480465610200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 480465610200 in words is "four hundred eighty billion, four hundred sixty-five million, six hundred ten thousand, two hundred".