427331584 has 117 divisors (see below), whose sum is σ = 958076697. Its totient is φ = 190513152.

The previous prime is 427331573. The next prime is 427331587. The reversal of 427331584 is 485133724.

It is a happy number.

The square root of 427331584 is 20672.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 332697600 + 94633984 = 18240^2 + 9728^2 .

It is a super-2 number, since 2×427331584² = 365224565367898112, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (80640) is a multiple of the sum of its prime factors (96).

It is not an unprimeable number, because it can be changed into a prime (427331587) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22491127 + ... + 22491145.

Almost surely, 2^427331584 is an apocalyptic number.

427331584 is the 20672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427331584

427331584 is an abundant number, since it is smaller than the sum of its proper divisors (530745113).

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

427331584 is an equidigital number, since it uses as much as digits as its factorization.

427331584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 38 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The cubic root of 427331584 is about 753.2196896123.

The spelling of 427331584 in words is "four hundred twenty-seven million, three hundred thirty-one thousand, five hundred eighty-four".