442354240 has 56 divisors (see below), whose sum is σ = 1081854072. Its totient is φ = 172154880.

The previous prime is 442354223. The next prime is 442354243. The reversal of 442354240 is 42453244.

It can be written as a sum of positive squares in 4 ways, for example, as 161188416 + 281165824 = 12696^2 + 16768^2 .

It is a junction number, because it is equal to n+sod(n) for n = 442354199 and 442354208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442354243) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6841 + ... + 30520.

Almost surely, 2^442354240 is an apocalyptic number.

442354240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442354240 is an abundant number, since it is smaller than the sum of its proper divisors (639499832).

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

442354240 is a wasteful number, since it uses less digits than its factorization.

442354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37415 (or 37405 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

The square root of 442354240 is about 21032.2190935717. The cubic root of 442354240 is about 761.9446046030.

The spelling of 442354240 in words is "four hundred forty-two million, three hundred fifty-four thousand, two hundred forty".