480404000 has 96 divisors (see below), whose sum is σ = 1195399296. Its totient is φ = 189715200.

The previous prime is 480403997. The next prime is 480404027. The reversal of 480404000 is 404084.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331277 + ... + 332723.

It is an arithmetic number, because the mean of its divisors is an integer number (12452076).

Almost surely, 2^480404000 is an apocalyptic number.

480404000 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 480404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597699648).

480404000 is an abundant number, since it is smaller than the sum of its proper divisors (714995296).

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

480404000 is a wasteful number, since it uses less digits than its factorization.

480404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 480404000 is about 21918.1203573664. The cubic root of 480404000 is about 783.1931342068.

Adding to 480404000 its reverse (404084), we get a palindrome (480808084).

The spelling of 480404000 in words is "four hundred eighty million, four hundred four thousand".