442651140 has 72 divisors (see below), whose sum is σ = 1345944600. Its totient is φ = 117755904.

The previous prime is 442651127. The next prime is 442651147. The reversal of 442651140 is 41156244.

442651140 is a `hidden beast` number, since 4 + 4 + 2 + 651 + 1 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 208744704 + 233906436 = 14448^2 + 15294^2 .

It is not an unprimeable number, because it can be changed into a prime (442651147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78082 + ... + 83558.

It is an arithmetic number, because the mean of its divisors is an integer number (18693675).

Almost surely, 2^442651140 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 442651140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672972300).

442651140 is an abundant number, since it is smaller than the sum of its proper divisors (903293460).

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

442651140 is a wasteful number, since it uses less digits than its factorization.

442651140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5941 (or 5936 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 442651140 is about 21039.2761282322. The cubic root of 442651140 is about 762.1150341966.

The spelling of 442651140 in words is "four hundred forty-two million, six hundred fifty-one thousand, one hundred forty".