480180408 has 32 divisors (see below), whose sum is σ = 1206556560. Its totient is φ = 159246080.

The previous prime is 480180401. The next prime is 480180427. The reversal of 480180408 is 804081084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480180401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46053 + ... + 55508.

Almost surely, 2^480180408 is an apocalyptic number.

It is an amenable number.

480180408 is an abundant number, since it is smaller than the sum of its proper divisors (726376152).

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

480180408 is a wasteful number, since it uses less digits than its factorization.

480180408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101767 (or 101763 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 480180408 is about 21913.0191438788. The cubic root of 480180408 is about 783.0716094804.

The spelling of 480180408 in words is "four hundred eighty million, one hundred eighty thousand, four hundred eight".