442920000 has 140 divisors (see below), whose sum is σ = 1464793616. Its totient is φ = 118080000.

The previous prime is 442919999. The next prime is 442920011. The reversal of 442920000 is 29244.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 118155 + ... + 121845.

Almost surely, 2^442920000 is an apocalyptic number.

442920000 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 442920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732396808).

442920000 is an abundant number, since it is smaller than the sum of its proper divisors (1021873616).

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

442920000 is an equidigital number, since it uses as much as digits as its factorization.

442920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3726 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 442920000 is about 21045.6646366894. The cubic root of 442920000 is about 762.2693022410.

Adding to 442920000 its reverse (29244), we get a palindrome (442949244).

The spelling of 442920000 in words is "four hundred forty-two million, nine hundred twenty thousand".