442128960 has 504 divisors, whose sum is σ = 1913007096. Its totient is φ = 92897280.

The previous prime is 442128923. The next prime is 442128971. The reversal of 442128960 is 69821244.

442128960 is a `hidden beast` number, since 442 + 128 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28901376 + 413227584 = 5376^2 + 20328^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1834440 + ... + 1834680.

It is an arithmetic number, because the mean of its divisors is an integer number (3795649).

Almost surely, 2^442128960 is an apocalyptic number.

442128960 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 442128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956503548).

442128960 is an abundant number, since it is smaller than the sum of its proper divisors (1470878136).

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

442128960 is a wasteful number, since it uses less digits than its factorization.

442128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 271 counting only the distinct ones).

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

The square root of 442128960 is about 21026.8628187849. The cubic root of 442128960 is about 761.8152361674.

The spelling of 442128960 in words is "four hundred forty-two million, one hundred twenty-eight thousand, nine hundred sixty".