480370820 has 24 divisors (see below), whose sum is σ = 1009300824. Its totient is φ = 192048896.

The previous prime is 480370799. The next prime is 480370831. The reversal of 480370820 is 28073084.

It can be written as a sum of positive squares in 4 ways, for example, as 3297856 + 477072964 = 1816^2 + 21842^2 .

It is a super-2 number, since 2×480370820² = 461512249414944800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 42842 + ... + 52878.

It is an arithmetic number, because the mean of its divisors is an integer number (42054201).

Almost surely, 2^480370820 is an apocalyptic number.

It is an amenable number.

480370820 is an abundant number, since it is smaller than the sum of its proper divisors (528930004).

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

480370820 is a wasteful number, since it uses less digits than its factorization.

480370820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12439 (or 12437 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 480370820 is about 21917.3634363260. The cubic root of 480370820 is about 783.1751028926.

The spelling of 480370820 in words is "four hundred eighty million, three hundred seventy thousand, eight hundred twenty".