442545000 has 160 divisors (see below), whose sum is σ = 1398677280. Its totient is φ = 116640000.

The previous prime is 442544989. The next prime is 442545007. The reversal of 442545000 is 545244.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (442545007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2444910 + ... + 2445090.

It is an arithmetic number, because the mean of its divisors is an integer number (8741733).

Almost surely, 2^442545000 is an apocalyptic number.

442545000 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 442545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699338640).

442545000 is an abundant number, since it is smaller than the sum of its proper divisors (956132280).

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

442545000 is a wasteful number, since it uses less digits than its factorization.

442545000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 442545000 is about 21036.7535518197. The cubic root of 442545000 is about 762.0541153761.

The spelling of 442545000 in words is "four hundred forty-two million, five hundred forty-five thousand".