442715328 has 112 divisors (see below), whose sum is σ = 1419880320. Its totient is φ = 134150400.

The previous prime is 442715311. The next prime is 442715341. The reversal of 442715328 is 823517244.

It is a happy number.

It is a super-2 number, since 2×442715328² = 391993723292295168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 442715292 and 442715301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7363 + ... + 30653.

Almost surely, 2^442715328 is an apocalyptic number.

442715328 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 442715328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709940160).

442715328 is an abundant number, since it is smaller than the sum of its proper divisors (977164992).

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

442715328 is a wasteful number, since it uses less digits than its factorization.

442715328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23323 (or 23307 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 442715328 is about 21040.8015056461. The cubic root of 442715328 is about 762.1518700334.

The spelling of 442715328 in words is "four hundred forty-two million, seven hundred fifteen thousand, three hundred twenty-eight".