442531040 has 192 divisors, whose sum is σ = 1280240640. Its totient is φ = 141250560.

The previous prime is 442531031. The next prime is 442531121. The reversal of 442531040 is 40135244.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 442530997 and 442531015.

It is a congruent number.

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, 1055951 + ... + 1056369.

It is an arithmetic number, because the mean of its divisors is an integer number (6667920).

Almost surely, 2^442531040 is an apocalyptic number.

442531040 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 442531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640120320).

442531040 is an abundant number, since it is smaller than the sum of its proper divisors (837709600).

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

442531040 is a wasteful number, since it uses less digits than its factorization.

442531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 442531040 is about 21036.4217489572. The cubic root of 442531040 is about 762.0461023399.

Adding to 442531040 its reverse (40135244), we get a palindrome (482666284).

The spelling of 442531040 in words is "four hundred forty-two million, five hundred thirty-one thousand, forty".