480035128 has 32 divisors (see below), whose sum is σ = 912978000. Its totient is φ = 236597760.

The previous prime is 480035113. The next prime is 480035131. The reversal of 480035128 is 821530084.

It is a super-2 number, since 2×480035128² = 460867448227952768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480035128.

It is a congruent number.

It is an unprimeable number.

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, 182688 + ... + 185296.

Almost surely, 2^480035128 is an apocalyptic number.

It is an amenable number.

480035128 is a deficient number, since it is larger than the sum of its proper divisors (432942872).

480035128 is a wasteful number, since it uses less digits than its factorization.

480035128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 480035128 is about 21909.7039687897. The cubic root of 480035128 is about 782.9926279721.

The spelling of 480035128 in words is "four hundred eighty million, thirty-five thousand, one hundred twenty-eight".