442024002 has 72 divisors (see below), whose sum is σ = 1137891456. Its totient is φ = 123593904.

The previous prime is 442023983. The next prime is 442024007. The reversal of 442024002 is 200420244.

442024002 is a `hidden beast` number, since 4 + 420 + 240 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (442024007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36123 + ... + 46785.

It is an arithmetic number, because the mean of its divisors is an integer number (15804048).

Almost surely, 2^442024002 is an apocalyptic number.

442024002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 442024002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568945728).

442024002 is an abundant number, since it is smaller than the sum of its proper divisors (695867454).

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

442024002 is a wasteful number, since it uses less digits than its factorization.

442024002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10732 (or 10722 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 442024002 is about 21024.3668632375. The cubic root of 442024002 is about 761.7549483790.

Adding to 442024002 its reverse (200420244), we get a palindrome (642444246).

The spelling of 442024002 in words is "four hundred forty-two million, twenty-four thousand, two".