480266800 has 120 divisors (see below), whose sum is σ = 1308266960. Its totient is φ = 167961600.

The previous prime is 480266777. The next prime is 480266807. The reversal of 480266800 is 8662084.

It is not an unprimeable number, because it can be changed into a prime (480266807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96370 + ... + 101230.

Almost surely, 2^480266800 is an apocalyptic number.

480266800 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 480266800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654133480).

480266800 is an abundant number, since it is smaller than the sum of its proper divisors (828000160).

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

480266800 is a wasteful number, since it uses less digits than its factorization.

480266800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4911 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 480266800 is about 21914.9903034430. The cubic root of 480266800 is about 783.1185689596.

The spelling of 480266800 in words is "four hundred eighty million, two hundred sixty-six thousand, eight hundred".