442588488 has 128 divisors (see below), whose sum is σ = 1201996800. Its totient is φ = 135475200.

The previous prime is 442588469. The next prime is 442588493. The reversal of 442588488 is 884885244.

It is a super-2 number, since 2×442588488² = 391769139420252288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 442588488.

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 31 ways as a sum of consecutive naturals, for example, 1574908 + ... + 1575188.

It is an arithmetic number, because the mean of its divisors is an integer number (9390600).

Almost surely, 2^442588488 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 442588488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600998400).

442588488 is an abundant number, since it is smaller than the sum of its proper divisors (759408312).

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

442588488 is a wasteful number, since it uses less digits than its factorization.

442588488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 419 counting only the distinct ones).

The product of its digits is 2621440, while the sum is 51.

The square root of 442588488 is about 21037.7871459904. The cubic root of 442588488 is about 762.0790763962.

The spelling of 442588488 in words is "four hundred forty-two million, five hundred eighty-eight thousand, four hundred eighty-eight".