442347360 has 576 divisors, whose sum is σ = 1859397120. Its totient is φ = 86261760.

The previous prime is 442347359. The next prime is 442347371. The reversal of 442347360 is 63743244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10788940 + ... + 10788980.

It is an arithmetic number, because the mean of its divisors is an integer number (3228120).

Almost surely, 2^442347360 is an apocalyptic number.

442347360 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 442347360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929698560).

442347360 is an abundant number, since it is smaller than the sum of its proper divisors (1417049760).

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

442347360 is a wasteful number, since it uses less digits than its factorization.

442347360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The square root of 442347360 is about 21032.0555343504. The cubic root of 442347360 is about 761.9406543706.

The spelling of 442347360 in words is "four hundred forty-two million, three hundred forty-seven thousand, three hundred sixty".