442232280 has 192 divisors, whose sum is σ = 1658180160. Its totient is φ = 100122624.

The previous prime is 442232279. The next prime is 442232309. The reversal of 442232280 is 82232244.

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, 283984 + ... + 285536.

It is an arithmetic number, because the mean of its divisors is an integer number (8636355).

Almost surely, 2^442232280 is an apocalyptic number.

442232280 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 442232280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829090080).

442232280 is an abundant number, since it is smaller than the sum of its proper divisors (1215947880).

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

442232280 is a wasteful number, since it uses less digits than its factorization.

442232280 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 6144, while the sum is 27.

The square root of 442232280 is about 21029.3195325003. The cubic root of 442232280 is about 761.8745737717.

The spelling of 442232280 in words is "four hundred forty-two million, two hundred thirty-two thousand, two hundred eighty".