420667584 has 84 divisors (see below), whose sum is σ = 1181779704. Its totient is φ = 131606528.

The previous prime is 420667573. The next prime is 420667603. The reversal of 420667584 is 485766024.

It is a super-2 number, since 2×420667584² = 353922432456794112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1171597 + ... + 1171955.

It is an arithmetic number, because the mean of its divisors is an integer number (14068806).

Almost surely, 2^420667584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420667584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590889852).

420667584 is an abundant number, since it is smaller than the sum of its proper divisors (761112120).

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

420667584 is an equidigital number, since it uses as much as digits as its factorization.

420667584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 420667584 is about 20510.1824467751. The cubic root of 420667584 is about 749.2838105368.

The spelling of 420667584 in words is "four hundred twenty million, six hundred sixty-seven thousand, five hundred eighty-four".