442397088 has 432 divisors, whose sum is σ = 1613364480. Its totient is φ = 114250752.

The previous prime is 442397027. The next prime is 442397089. The reversal of 442397088 is 880793244.

It is not an unprimeable number, because it can be changed into a prime (442397089) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9412681 + ... + 9412727.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2^442397088 is an apocalyptic number.

442397088 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 442397088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806682240).

442397088 is an abundant number, since it is smaller than the sum of its proper divisors (1170967392).

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

442397088 is a wasteful number, since it uses less digits than its factorization.

442397088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 442397088 is about 21033.2376965602. The cubic root of 442397088 is about 761.9692053606.

The spelling of 442397088 in words is "four hundred forty-two million, three hundred ninety-seven thousand, eighty-eight".