442221360 has 80 divisors (see below), whose sum is σ = 1566733056. Its totient is φ = 101078784.

The previous prime is 442221337. The next prime is 442221361. The reversal of 442221360 is 63122244.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 442221360.

It is not an unprimeable number, because it can be changed into a prime (442221361) 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, 129934 + ... + 133293.

Almost surely, 2^442221360 is an apocalyptic number.

442221360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442221360 is an abundant number, since it is smaller than the sum of its proper divisors (1124511696).

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

442221360 is a wasteful number, since it uses less digits than its factorization.

442221360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263250 (or 263244 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 442221360 is about 21029.0598933951. The cubic root of 442221360 is about 761.8683027544.

The spelling of 442221360 in words is "four hundred forty-two million, two hundred twenty-one thousand, three hundred sixty".