442011024 has 240 divisors, whose sum is σ = 1543651200. Its totient is φ = 114960384.

The previous prime is 442011001. The next prime is 442011103. The reversal of 442011024 is 420110244.

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

It is a junction number, because it is equal to n+sod(n) for n = 442010988 and 442011006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1166067 + ... + 1166445.

It is an arithmetic number, because the mean of its divisors is an integer number (6431880).

Almost surely, 2^442011024 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 442011024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771825600).

442011024 is an abundant number, since it is smaller than the sum of its proper divisors (1101640176).

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

442011024 is a wasteful number, since it uses less digits than its factorization.

442011024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 442011024 is about 21024.0582190975. The cubic root of 442011024 is about 761.7474931636.

Adding to 442011024 its reverse (420110244), we get a palindrome (862121268).

The spelling of 442011024 in words is "four hundred forty-two million, eleven thousand, twenty-four".