428580480 has 64 divisors (see below), whose sum is σ = 1366106400. Its totient is φ = 114287616.

The previous prime is 428580461. The next prime is 428580491. The reversal of 428580480 is 84085824.

It is a tau number, because it is divible by the number of its divisors (64).

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, 109690 + ... + 113529.

Almost surely, 2^428580480 is an apocalyptic number.

428580480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428580480 is an abundant number, since it is smaller than the sum of its proper divisors (937525920).

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

428580480 is a wasteful number, since it uses less digits than its factorization.

428580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223241 (or 223229 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 428580480 is about 20702.1853918856. The cubic root of 428580480 is about 753.9527488818.

The spelling of 428580480 in words is "four hundred twenty-eight million, five hundred eighty thousand, four hundred eighty".