480004800 has 168 divisors, whose sum is σ = 1718169792. Its totient is φ = 116352000.

The previous prime is 480004799. The next prime is 480004807. The reversal of 480004800 is 8400084.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (480004807) 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, 48255 + ... + 57345.

Almost surely, 2^480004800 is an apocalyptic number.

480004800 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 480004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859084896).

480004800 is an abundant number, since it is smaller than the sum of its proper divisors (1238164992).

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

480004800 is a wasteful number, since it uses less digits than its factorization.

480004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9127 (or 9112 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 480004800 is about 21909.0118444443. The cubic root of 480004800 is about 782.9761381368.

Adding to 480004800 its reverse (8400084), we get a palindrome (488404884).

The spelling of 480004800 in words is "four hundred eighty million, four thousand, eight hundred".