420059584 has 28 divisors (see below), whose sum is σ = 952636144. Its totient is φ = 180025344.

The previous prime is 420059573. The next prime is 420059611. The reversal of 420059584 is 485950024.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×420059584² = 352900108220506112, which contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 468369 + ... + 469264.

Almost surely, 2^420059584 is an apocalyptic number.

It is an amenable number.

420059584 is an abundant number, since it is smaller than the sum of its proper divisors (532576560).

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

420059584 is an equidigital number, since it uses as much as digits as its factorization.

420059584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937652 (or 937642 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 420059584 is about 20495.3551811136. The cubic root of 420059584 is about 748.9226510927.

The spelling of 420059584 in words is "four hundred twenty million, fifty-nine thousand, five hundred eighty-four".