442650240 has 384 divisors, whose sum is σ = 1644664320. Its totient is φ = 109486080.

The previous prime is 442650191. The next prime is 442650253. The reversal of 442650240 is 42056244.

442650240 is a `hidden beast` number, since 4 + 4 + 2 + 650 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 6606687 + ... + 6606753.

It is an arithmetic number, because the mean of its divisors is an integer number (4282980).

Almost surely, 2^442650240 is an apocalyptic number.

442650240 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 442650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822332160).

442650240 is an abundant number, since it is smaller than the sum of its proper divisors (1202014080).

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

442650240 is a wasteful number, since it uses less digits than its factorization.

442650240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 442650240 is about 21039.2547396527. The cubic root of 442650240 is about 762.1145176845.

The spelling of 442650240 in words is "four hundred forty-two million, six hundred fifty thousand, two hundred forty".