482560000 has 240 divisors, whose sum is σ = 1343241900. Its totient is φ = 172032000.

The previous prime is 482559947. The next prime is 482560007. The reversal of 482560000 is 65284.

It can be written as a sum of positive squares in 10 ways, for example, as 97772544 + 384787456 = 9888^2 + 19616^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (482560007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16639986 + ... + 16640014.

Almost surely, 2^482560000 is an apocalyptic number.

482560000 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 482560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671620950).

482560000 is an abundant number, since it is smaller than the sum of its proper divisors (860681900).

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

482560000 is an equidigital number, since it uses as much as digits as its factorization.

482560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 482560000 is about 21967.2483483936. The cubic root of 482560000 is about 784.3630138960.

The spelling of 482560000 in words is "four hundred eighty-two million, five hundred sixty thousand".