442354770 has 384 divisors, whose sum is σ = 1497000960. Its totient is φ = 92378880.

The previous prime is 442354747. The next prime is 442354811. The reversal of 442354770 is 77453244.

442354770 is a `hidden beast` number, since 4 + 42 + 3 + 547 + 70 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6602277 + ... + 6602343.

It is an arithmetic number, because the mean of its divisors is an integer number (3898440).

Almost surely, 2^442354770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442354770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748500480).

442354770 is an abundant number, since it is smaller than the sum of its proper divisors (1054646190).

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

442354770 is a wasteful number, since it uses less digits than its factorization.

442354770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 442354770 is about 21032.2316932845. The cubic root of 442354770 is about 761.9449089069.

The spelling of 442354770 in words is "four hundred forty-two million, three hundred fifty-four thousand, seven hundred seventy".