442545024 has 128 divisors (see below), whose sum is σ = 1242604800. Its totient is φ = 139268096.

The previous prime is 442545023. The next prime is 442545029. The reversal of 442545024 is 420545244.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 442544982 and 442545000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442545023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 785767 + ... + 786329.

It is an arithmetic number, because the mean of its divisors is an integer number (9707850).

Almost surely, 2^442545024 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 442545024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621302400).

442545024 is an abundant number, since it is smaller than the sum of its proper divisors (800059776).

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

442545024 is a wasteful number, since it uses less digits than its factorization.

442545024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 442545024 is about 21036.7541222499. The cubic root of 442545024 is about 762.0541291520.

The spelling of 442545024 in words is "four hundred forty-two million, five hundred forty-five thousand, twenty-four".