442515408 has 80 divisors (see below), whose sum is σ = 1210249920. Its totient is φ = 139087872.

The previous prime is 442515401. The next prime is 442515439. The reversal of 442515408 is 804515244.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442515401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56160 + ... + 63552.

It is an arithmetic number, because the mean of its divisors is an integer number (15128124).

Almost surely, 2^442515408 is an apocalyptic number.

442515408 is a gapful number since it is divisible by the number (48) 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 442515408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605124960).

442515408 is an abundant number, since it is smaller than the sum of its proper divisors (767734512).

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

442515408 is a wasteful number, since it uses less digits than its factorization.

442515408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7476 (or 7470 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The square root of 442515408 is about 21036.0501995978. The cubic root of 442515408 is about 762.0371293762.

The spelling of 442515408 in words is "four hundred forty-two million, five hundred fifteen thousand, four hundred eight".