428580 has 36 divisors (see below), whose sum is σ = 1300572. Its totient is φ = 114240.

The previous prime is 428579. The next prime is 428629. The reversal of 428580 is 85824.

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 381924 = 216^2 + 618^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1011 + ... + 1370.

It is an arithmetic number, because the mean of its divisors is an integer number (36127).

2⁴²⁸⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

428580 is an abundant number, since it is smaller than the sum of its proper divisors (871992).

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

428580 is a wasteful number, since it uses less digits than its factorization.

428580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 428580 is about 654.6602172120. The cubic root of 428580 is about 75.3952467412.

The spelling of 428580 in words is "four hundred twenty-eight thousand, five hundred eighty".