442724352 has 104 divisors (see below), whose sum is σ = 1349352576. Its totient is φ = 126468096.

The previous prime is 442724333. The next prime is 442724357. The reversal of 442724352 is 253427244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442724357) 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, 83443 + ... + 88589.

It is an arithmetic number, because the mean of its divisors is an integer number (12974544).

Almost surely, 2^442724352 is an apocalyptic number.

442724352 is a gapful number since it is divisible by the number (42) 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 442724352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674676288).

442724352 is an abundant number, since it is smaller than the sum of its proper divisors (906628224).

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

442724352 is an equidigital number, since it uses as much as digits as its factorization.

442724352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5181 (or 5159 counting only the distinct ones).

The product of its digits is 53760, while the sum is 33.

The square root of 442724352 is about 21041.0159450536. The cubic root of 442724352 is about 762.1570483887.

The spelling of 442724352 in words is "four hundred forty-two million, seven hundred twenty-four thousand, three hundred fifty-two".