480890000 has 100 divisors (see below), whose sum is σ = 1226045040. Its totient is φ = 182160000.

The previous prime is 480889991. The next prime is 480890017. The reversal of 480890000 is 98084.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×480890000³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 188735 + ... + 191265.

Almost surely, 2^480890000 is an apocalyptic number.

480890000 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 480890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613022520).

480890000 is an abundant number, since it is smaller than the sum of its proper divisors (745155040).

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

480890000 is a wasteful number, since it uses less digits than its factorization.

480890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 480890000 is about 21929.2042719292. The cubic root of 480890000 is about 783.4571505903.

The spelling of 480890000 in words is "four hundred eighty million, eight hundred ninety thousand".