480029800 has 96 divisors (see below), whose sum is σ = 1149926400. Its totient is φ = 186266880.

The previous prime is 480029789. The next prime is 480029807. The reversal of 480029800 is 8920084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480029807) 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, 2096086 + ... + 2096314.

It is an arithmetic number, because the mean of its divisors is an integer number (11978400).

Almost surely, 2^480029800 is an apocalyptic number.

480029800 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 480029800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574963200).

480029800 is an abundant number, since it is smaller than the sum of its proper divisors (669896600).

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

480029800 is a wasteful number, since it uses less digits than its factorization.

480029800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 480029800 is about 21909.5823784937. The cubic root of 480029800 is about 782.9897311006.

Adding to 480029800 its reverse (8920084), we get a palindrome (488949884).

The spelling of 480029800 in words is "four hundred eighty million, twenty-nine thousand, eight hundred".