480000000 has 192 divisors, whose sum is σ = 1599605280. Its totient is φ = 128000000.

The previous prime is 479999977. The next prime is 480000019. The reversal of 480000000 is 84.

It is a tau number, because it is divible by the number of its divisors (192).

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 Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1000 × 600 × 800.

It is a congruent number.

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, 95999998 + ... + 96000002.

Almost surely, 2^480000000 is an apocalyptic number.

480000000 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 480000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799802640).

480000000 is an abundant number, since it is smaller than the sum of its proper divisors (1119605280).

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

480000000 is an frugal number, since it uses more digits than its factorization.

480000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 10 counting only the distinct ones).

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

The square root of 480000000 is about 21908.9023002066. The cubic root of 480000000 is about 782.9735282338.

Adding to 480000000 its reverse (84), we get a palindrome (480000084).

The spelling of 480000000 in words is "four hundred eighty million", and thus it is an aban number.