442068120 has 192 divisors, whose sum is σ = 1574445600. Its totient is φ = 106905600.

The previous prime is 442068101. The next prime is 442068127. The reversal of 442068120 is 21860244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442068127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275320 + ... + 276920.

Almost surely, 2^442068120 is an apocalyptic number.

442068120 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 442068120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787222800).

442068120 is an abundant number, since it is smaller than the sum of its proper divisors (1132377480).

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

442068120 is a wasteful number, since it uses less digits than its factorization.

442068120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 442068120 is about 21025.4160482022. The cubic root of 442068120 is about 761.7802908843.

It can be divided in two parts, 44206 and 8120, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 442068120 in words is "four hundred forty-two million, sixty-eight thousand, one hundred twenty".