442376388 has 144 divisors (see below), whose sum is σ = 1217414016. Its totient is φ = 135083520.

The previous prime is 442376371. The next prime is 442376393. The reversal of 442376388 is 883673244.

442376388 is a `hidden beast` number, since 4 + 4 + 2 + 3 + 7 + 638 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2817606 + ... + 2817762.

It is an arithmetic number, because the mean of its divisors is an integer number (8454264).

Almost surely, 2^442376388 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 442376388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608707008).

442376388 is an abundant number, since it is smaller than the sum of its proper divisors (775037628).

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

442376388 is a wasteful number, since it uses less digits than its factorization.

442376388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 309 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 442376388 is about 21032.7456124967. The cubic root of 442376388 is about 761.9573208576.

It can be divided in two parts, 44237 and 6388, that added together give a 4-th power (50625 = 15⁴).

The spelling of 442376388 in words is "four hundred forty-two million, three hundred seventy-six thousand, three hundred eighty-eight".