480840000 has 140 divisors (see below), whose sum is σ = 1590165984. Its totient is φ = 128192000.

The previous prime is 480839993. The next prime is 480840023. The reversal of 480840000 is 48084.

It is a super-3 number, since 3×480840000³ (a number of 27 digits) contains 333 as substring.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 117997 + ... + 122003.

Almost surely, 2^480840000 is an apocalyptic number.

480840000 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 480840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795082992).

480840000 is an abundant number, since it is smaller than the sum of its proper divisors (1109325984).

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

480840000 is an equidigital number, since it uses as much as digits as its factorization.

480840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4042 (or 4017 counting only the distinct ones).

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

The square root of 480840000 is about 21928.0642100483. The cubic root of 480840000 is about 783.4299966221.

Adding to 480840000 its reverse (48084), we get a palindrome (480888084).

Multiplying 480840000 by its reverse (48084), we get a square (23120710560000 = 4808400²).

480840000 divided by its reverse (48084) gives a 4-th power (10000 = 10⁴).

The spelling of 480840000 in words is "four hundred eighty million, eight hundred forty thousand".