480232000 has 56 divisors (see below), whose sum is σ = 1189314360. Its totient is φ = 192089600.

The previous prime is 480231977. The next prime is 480232003. The reversal of 480232000 is 232084.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14017536 + 466214464 = 3744^2 + 21592^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480232003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22015 + ... + 38014.

Almost surely, 2^480232000 is an apocalyptic number.

480232000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480232000 is an abundant number, since it is smaller than the sum of its proper divisors (709082360).

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

480232000 is an equidigital number, since it uses as much as digits as its factorization.

480232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60056 (or 60036 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 480232000 is about 21914.1963119800. The cubic root of 480232000 is about 783.0996536509.

Adding to 480232000 its reverse (232084), we get a palindrome (480464084).

The spelling of 480232000 in words is "four hundred eighty million, two hundred thirty-two thousand".