442527024 has 80 divisors (see below), whose sum is σ = 1207065600. Its totient is φ = 139315968.

The previous prime is 442527023. The next prime is 442527047. The reversal of 442527024 is 420725244.

It is a junction number, because it is equal to n+sod(n) for n = 442526982 and 442527000.

It is not an unprimeable number, because it can be changed into a prime (442527023) 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, 436342 + ... + 437354.

It is an arithmetic number, because the mean of its divisors is an integer number (15088320).

Almost surely, 2^442527024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442527024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603532800).

442527024 is an abundant number, since it is smaller than the sum of its proper divisors (764538576).

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

442527024 is a wasteful number, since it uses less digits than its factorization.

442527024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The square root of 442527024 is about 21036.3262952446. The cubic root of 442527024 is about 762.0437971258.

The spelling of 442527024 in words is "four hundred forty-two million, five hundred twenty-seven thousand, twenty-four".