442303520 has 48 divisors (see below), whose sum is σ = 1052011800. Its totient is φ = 175724544.

The previous prime is 442303487. The next prime is 442303529. The reversal of 442303520 is 25303244.

It can be written as a sum of positive squares in 4 ways, for example, as 152078224 + 290225296 = 12332^2 + 17036^2 .

It is not an unprimeable number, because it can be changed into a prime (442303529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14564 + ... + 33116.

Almost surely, 2^442303520 is an apocalyptic number.

442303520 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 442303520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526005900).

442303520 is an abundant number, since it is smaller than the sum of its proper divisors (609708280).

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

442303520 is a wasteful number, since it uses less digits than its factorization.

442303520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18717 (or 18709 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 442303520 is about 21031.0132899012. The cubic root of 442303520 is about 761.9154821607.

Adding to 442303520 its reverse (25303244), we get a palindrome (467606764).

The spelling of 442303520 in words is "four hundred forty-two million, three hundred three thousand, five hundred twenty".