480000 has 90 divisors (see below), whose sum is σ = 1596364. Its totient is φ = 128000.

The previous prime is 479971. The next prime is 480013. The reversal of 480000 is 84.

480000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is a nialpdrome in base 16.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 100 × 60 × 80.

It is an unprimeable number.

480000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 95998 + ... + 96002.

2⁴⁸⁰⁰⁰⁰ is an apocalyptic number.

480000 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 480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798182).

480000 is an abundant number, since it is smaller than the sum of its proper divisors (1116364).

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

480000 is an frugal number, since it uses more digits than its factorization.

480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 480000 is about 692.8203230276. The cubic root of 480000 is about 78.2973528234.

Multiplying 480000 by its sum of digits (12), we get a square (5760000 = 2400²).

480000 divided by its sum of digits (12) gives a square (40000 = 200²).

Adding to 480000 its reverse (84), we get a palindrome (480084).

The spelling of 480000 in words is "four hundred eighty thousand".