480287808 has 672 divisors, whose sum is σ = 1997049600. Its totient is φ = 108380160.

The previous prime is 480287777. The next prime is 480287809. The reversal of 480287808 is 808782084.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480287809) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28252216 + ... + 28252232.

It is an arithmetic number, because the mean of its divisors is an integer number (2971800).

Almost surely, 2^480287808 is an apocalyptic number.

480287808 is a gapful number since it is divisible by the number (48) 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 480287808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998524800).

480287808 is an abundant number, since it is smaller than the sum of its proper divisors (1516761792).

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

480287808 is a wasteful number, since it uses less digits than its factorization.

480287808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 480287808 is about 21915.4696048248. The cubic root of 480287808 is about 783.1299872762.

The spelling of 480287808 in words is "four hundred eighty million, two hundred eighty-seven thousand, eight hundred eight".