442681920 has 336 divisors, whose sum is σ = 1637580672. Its totient is φ = 109486080.

The previous prime is 442681913. The next prime is 442681933. The reversal of 442681920 is 29186244.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2715759 + ... + 2715921.

It is an arithmetic number, because the mean of its divisors is an integer number (4873752).

Almost surely, 2^442681920 is an apocalyptic number.

442681920 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 442681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818790336).

442681920 is an abundant number, since it is smaller than the sum of its proper divisors (1194898752).

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

442681920 is a wasteful number, since it uses less digits than its factorization.

442681920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 442681920 is about 21040.0076045614. The cubic root of 442681920 is about 762.1326984887.

The spelling of 442681920 in words is "four hundred forty-two million, six hundred eighty-one thousand, nine hundred twenty".