441152000 has 160 divisors (see below), whose sum is σ = 1127967984. Its totient is φ = 172032000.

The previous prime is 441151993. The next prime is 441152009. The reversal of 441152000 is 251144.

It can be written as a sum of positive squares in 8 ways, for example, as 82882816 + 358269184 = 9104^2 + 18928^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 441152000.

It is not an unprimeable number, because it can be changed into a prime (441152009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3903944 + ... + 3904056.

Almost surely, 2^441152000 is an apocalyptic number.

441152000 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 441152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563983992).

441152000 is an abundant number, since it is smaller than the sum of its proper divisors (686815984).

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

441152000 is an equidigital number, since it uses as much as digits as its factorization.

441152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 441152000 is about 21003.6187358274. The cubic root of 441152000 is about 761.2537017534.

The spelling of 441152000 in words is "four hundred forty-one million, one hundred fifty-two thousand".