442531890 has 64 divisors (see below), whose sum is σ = 1182384000. Its totient is φ = 117778752.

The previous prime is 442531883. The next prime is 442531897. The reversal of 442531890 is 98135244.

442531890 is a `hidden beast` number, since 4 + 42 + 531 + 89 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (442531883) and next prime (442531897).

It is not an unprimeable number, because it can be changed into a prime (442531897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172336 + ... + 174884.

It is an arithmetic number, because the mean of its divisors is an integer number (18474750).

Almost surely, 2^442531890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442531890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591192000).

442531890 is an abundant number, since it is smaller than the sum of its proper divisors (739852110).

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

442531890 is a wasteful number, since it uses less digits than its factorization.

442531890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 442531890 is about 21036.4419520032. The cubic root of 442531890 is about 762.0465902445.

It can be divided in two parts, 4425 and 31890, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 442531890 in words is "four hundred forty-two million, five hundred thirty-one thousand, eight hundred ninety".