442784160 has 576 divisors, whose sum is σ = 1937295360. Its totient is φ = 89579520.

The previous prime is 442784141. The next prime is 442784171. The reversal of 442784160 is 61487244.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4062186 + ... + 4062294.

It is an arithmetic number, because the mean of its divisors is an integer number (3363360).

Almost surely, 2^442784160 is an apocalyptic number.

442784160 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 442784160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968647680).

442784160 is an abundant number, since it is smaller than the sum of its proper divisors (1494511200).

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

442784160 is a wasteful number, since it uses less digits than its factorization.

442784160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 442784160 is about 21042.4371212082. The cubic root of 442784160 is about 762.1913669860.

The spelling of 442784160 in words is "four hundred forty-two million, seven hundred eighty-four thousand, one hundred sixty".