442626400 has 72 divisors (see below), whose sum is σ = 1083680640. Its totient is φ = 176540160.

The previous prime is 442626397. The next prime is 442626407. The reversal of 442626400 is 4626244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442626407) 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 11 ways as a sum of consecutive naturals, for example, 406657 + ... + 407743.

It is an arithmetic number, because the mean of its divisors is an integer number (15051120).

Almost surely, 2^442626400 is an apocalyptic number.

442626400 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 442626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541840320).

442626400 is an abundant number, since it is smaller than the sum of its proper divisors (641054240).

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

442626400 is a wasteful number, since it uses less digits than its factorization.

442626400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 442626400 is about 21038.6881720320. The cubic root of 442626400 is about 762.1008355983.

The spelling of 442626400 in words is "four hundred forty-two million, six hundred twenty-six thousand, four hundred".