442361940 has 192 divisors, whose sum is σ = 1354752000. Its totient is φ = 107573760.

The previous prime is 442361929. The next prime is 442361957. The reversal of 442361940 is 49163244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3182391 + ... + 3182529.

It is an arithmetic number, because the mean of its divisors is an integer number (7056000).

Almost surely, 2^442361940 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 442361940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677376000).

442361940 is an abundant number, since it is smaller than the sum of its proper divisors (912390060).

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

442361940 is a wasteful number, since it uses less digits than its factorization.

442361940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 442361940 is about 21032.4021452615. The cubic root of 442361940 is about 761.9490255993.

The spelling of 442361940 in words is "four hundred forty-two million, three hundred sixty-one thousand, nine hundred forty".