442400000 has 216 divisors, whose sum is σ = 1277418240. Its totient is φ = 149760000.

The previous prime is 442399987. The next prime is 442400011. The reversal of 442400000 is 4244.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5599961 + ... + 5600039.

Almost surely, 2^442400000 is an apocalyptic number.

442400000 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 442400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638709120).

442400000 is an abundant number, since it is smaller than the sum of its proper divisors (835018240).

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

442400000 is an frugal number, since it uses more digits than its factorization.

442400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 442400000 is about 21033.3069202159. The cubic root of 442400000 is about 761.9708771991.

Adding to 442400000 its reverse (4244), we get a palindrome (442404244).

The spelling of 442400000 in words is "four hundred forty-two million, four hundred thousand".