442883520 has 168 divisors, whose sum is σ = 1539154656. Its totient is φ = 116877312.

The previous prime is 442883513. The next prime is 442883527. The reversal of 442883520 is 25388244.

It is an interprime number because it is at equal distance from previous prime (442883513) and next prime (442883527).

It is a super-3 number, since 3×442883520³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442883527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295894 + ... + 297386.

Almost surely, 2^442883520 is an apocalyptic number.

442883520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769577328).

442883520 is an abundant number, since it is smaller than the sum of its proper divisors (1096271136).

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

442883520 is a wasteful number, since it uses less digits than its factorization.

442883520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 442883520 is about 21044.7979320306. The cubic root of 442883520 is about 762.2483741971.

The spelling of 442883520 in words is "four hundred forty-two million, eight hundred eighty-three thousand, five hundred twenty".