442420000 has 120 divisors (see below), whose sum is σ = 1187957232. Its totient is φ = 160800000.

The previous prime is 442419983. The next prime is 442420009. The reversal of 442420000 is 24244.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (442420009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 218995 + ... + 221005.

Almost surely, 2^442420000 is an apocalyptic number.

442420000 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 442420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593978616).

442420000 is an abundant number, since it is smaller than the sum of its proper divisors (745537232).

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

442420000 is a wasteful number, since it uses less digits than its factorization.

442420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 442420000 is about 21033.7823512558. The cubic root of 442420000 is about 761.9823594082.

Adding to 442420000 its reverse (24244), we get a palindrome (442444244).

The spelling of 442420000 in words is "four hundred forty-two million, four hundred twenty thousand".