480075840 has 84 divisors (see below), whose sum is σ = 1651270764. Its totient is φ = 128019456.

The previous prime is 480075797. The next prime is 480075857. The reversal of 480075840 is 48570084.

It can be written as a sum of positive squares in 2 ways, for example, as 122412096 + 357663744 = 11064^2 + 18912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 480075795 and 480075804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80467 + ... + 86226.

Almost surely, 2^480075840 is an apocalyptic number.

480075840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480075840 is an abundant number, since it is smaller than the sum of its proper divisors (1171194924).

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

480075840 is a wasteful number, since it uses less digits than its factorization.

480075840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166716 (or 166703 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 480075840 is about 21910.6330351270. The cubic root of 480075840 is about 783.0147626680.

The spelling of 480075840 in words is "four hundred eighty million, seventy-five thousand, eight hundred forty".