480556800 has 378 divisors, whose sum is σ = 1800678152. Its totient is φ = 126904320.

The previous prime is 480556789. The next prime is 480556801. The reversal of 480556800 is 8655084.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480556801) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4665549 + ... + 4665651.

Almost surely, 2^480556800 is an apocalyptic number.

480556800 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 480556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900339076).

480556800 is an abundant number, since it is smaller than the sum of its proper divisors (1320121352).

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

480556800 is an equidigital number, since it uses as much as digits as its factorization.

480556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 480556800 is about 21921.6057805992. The cubic root of 480556800 is about 783.2761610102.

The spelling of 480556800 in words is "four hundred eighty million, five hundred fifty-six thousand, eight hundred".