442133560 has 64 divisors (see below), whose sum is σ = 1096092000. Its totient is φ = 159168000.

The previous prime is 442133557. The next prime is 442133561. The reversal of 442133560 is 65331244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442133561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39466 + ... + 49414.

Almost surely, 2^442133560 is an apocalyptic number.

442133560 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 442133560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548046000).

442133560 is an abundant number, since it is smaller than the sum of its proper divisors (653958440).

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

442133560 is a wasteful number, since it uses less digits than its factorization.

442133560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10072 (or 10068 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 442133560 is about 21026.9722023881. The cubic root of 442133560 is about 761.8178781854.

The spelling of 442133560 in words is "four hundred forty-two million, one hundred thirty-three thousand, five hundred sixty".