442080000 has 270 divisors, whose sum is σ = 1597960364. Its totient is φ = 117504000.

The previous prime is 442079983. The next prime is 442080013. The reversal of 442080000 is 80244.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1439847 + ... + 1440153.

Almost surely, 2^442080000 is an apocalyptic number.

442080000 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 442080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798980182).

442080000 is an abundant number, since it is smaller than the sum of its proper divisors (1155880364).

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

442080000 is an equidigital number, since it uses as much as digits as its factorization.

442080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 317 counting only the distinct ones).

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

The square root of 442080000 is about 21025.6985615223. The cubic root of 442080000 is about 761.7871147713.

The spelling of 442080000 in words is "four hundred forty-two million, eighty thousand".