442428880 has 40 divisors (see below), whose sum is σ = 1032360264. Its totient is φ = 176332800.

The previous prime is 442428871. The next prime is 442428881. The reversal of 442428880 is 88824244.

It can be written as a sum of positive squares in 4 ways, for example, as 201185856 + 241243024 = 14184^2 + 15532^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442428881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12640 + ... + 32320.

Almost surely, 2^442428880 is an apocalyptic number.

442428880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442428880 is an abundant number, since it is smaller than the sum of its proper divisors (589931384).

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

442428880 is a wasteful number, since it uses less digits than its factorization.

442428880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19975 (or 19969 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 442428880 is about 21033.9934391927. The cubic root of 442428880 is about 761.9874573981.

The spelling of 442428880 in words is "four hundred forty-two million, four hundred twenty-eight thousand, eight hundred eighty".