442964340 has 144 divisors (see below), whose sum is σ = 1653794688. Its totient is φ = 93457152.

The previous prime is 442964339. The next prime is 442964381. The reversal of 442964340 is 43469244.

442964340 is a `hidden beast` number, since 4 + 4 + 2 + 9 + 643 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 442964295 and 442964304.

It is a congruent number.

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, 2859 + ... + 29901.

Almost surely, 2^442964340 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 442964340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826897344).

442964340 is an abundant number, since it is smaller than the sum of its proper divisors (1210830348).

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

442964340 is a wasteful number, since it uses less digits than its factorization.

442964340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27078 (or 27073 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 442964340 is about 21046.7180339358. The cubic root of 442964340 is about 762.2947379051.

The spelling of 442964340 in words is "four hundred forty-two million, nine hundred sixty-four thousand, three hundred forty".