442373520 has 80 divisors (see below), whose sum is σ = 1373929920. Its totient is φ = 117745152.

The previous prime is 442373489. The next prime is 442373531. The reversal of 442373520 is 25373244.

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 (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156762 + ... + 159558.

It is an arithmetic number, because the mean of its divisors is an integer number (17174124).

Almost surely, 2^442373520 is an apocalyptic number.

442373520 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 442373520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686964960).

442373520 is an abundant number, since it is smaller than the sum of its proper divisors (931556400).

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

442373520 is a wasteful number, since it uses less digits than its factorization.

442373520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 442373520 is about 21032.6774329851. The cubic root of 442373520 is about 761.9556742218.

The spelling of 442373520 in words is "four hundred forty-two million, three hundred seventy-three thousand, five hundred twenty".