442794040 has 64 divisors (see below), whose sum is σ = 1109959200. Its totient is φ = 157850112.

The previous prime is 442794007. The next prime is 442794041. The reversal of 442794040 is 40497244.

It is a junction number, because it is equal to n+sod(n) for n = 442793987 and 442794005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442794041) 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, 399 + ... + 29761.

Almost surely, 2^442794040 is an apocalyptic number.

442794040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442794040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554979600).

442794040 is an abundant number, since it is smaller than the sum of its proper divisors (667165160).

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

442794040 is a wasteful number, since it uses less digits than its factorization.

442794040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29416 (or 29412 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 442794040 is about 21042.6718835798. The cubic root of 442794040 is about 762.1970359593.

The spelling of 442794040 in words is "four hundred forty-two million, seven hundred ninety-four thousand, forty".