442404320 has 48 divisors (see below), whose sum is σ = 1046446128. Its totient is φ = 176747520.

The previous prime is 442404307. The next prime is 442404329. The reversal of 442404320 is 23404244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442404329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236027 + ... + 237893.

It is an arithmetic number, because the mean of its divisors is an integer number (21800961).

Almost surely, 2^442404320 is an apocalyptic number.

442404320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442404320 is an abundant number, since it is smaller than the sum of its proper divisors (604041808).

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

442404320 is a wasteful number, since it uses less digits than its factorization.

442404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 442404320 is about 21033.4096142304. The cubic root of 442404320 is about 761.9733573856.

Adding to 442404320 its reverse (23404244), we get a palindrome (465808564).

The spelling of 442404320 in words is "four hundred forty-two million, four hundred four thousand, three hundred twenty".