442013652 has 48 divisors (see below), whose sum is σ = 1151162880. Its totient is φ = 146669184.

The previous prime is 442013633. The next prime is 442013657. The reversal of 442013652 is 256310244.

442013652 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 1 + 3 + 652 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442013657) 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, 14908 + ... + 33260.

It is an arithmetic number, because the mean of its divisors is an integer number (23982560).

Almost surely, 2^442013652 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 442013652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575581440).

442013652 is an abundant number, since it is smaller than the sum of its proper divisors (709149228).

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

442013652 is a wasteful number, since it uses less digits than its factorization.

442013652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18589 (or 18581 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 442013652 is about 21024.1207188315. The cubic root of 442013652 is about 761.7490028306.

Adding to 442013652 its reverse (256310244), we get a palindrome (698323896).

It can be divided in two parts, 44 and 2013652, that multiplied together give a palindrome (88600688).

The spelling of 442013652 in words is "four hundred forty-two million, thirteen thousand, six hundred fifty-two".