442350500 has 48 divisors (see below), whose sum is σ = 970495344. Its totient is φ = 176134400.

The previous prime is 442350497. The next prime is 442350509. The reversal of 442350500 is 5053244.

It can be written as a sum of positive squares in 8 ways, for example, as 351262564 + 91087936 = 18742^2 + 9544^2 .

It is not an unprimeable number, because it can be changed into a prime (442350509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114602 + ... + 118398.

It is an arithmetic number, because the mean of its divisors is an integer number (20218653).

Almost surely, 2^442350500 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 442350500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485247672).

442350500 is an abundant number, since it is smaller than the sum of its proper divisors (528144844).

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

442350500 is a wasteful number, since it uses less digits than its factorization.

442350500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 442350500 is about 21032.1301821760. The cubic root of 442350500 is about 761.9424572434.

The spelling of 442350500 in words is "four hundred forty-two million, three hundred fifty thousand, five hundred".