441920160 has 288 divisors, whose sum is σ = 1718091648. Its totient is φ = 102389760.

The previous prime is 441920123. The next prime is 441920189. The reversal of 441920160 is 61029144.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 363714 + ... + 364926.

It is an arithmetic number, because the mean of its divisors is an integer number (5965596).

Almost surely, 2^441920160 is an apocalyptic number.

441920160 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 441920160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859045824).

441920160 is an abundant number, since it is smaller than the sum of its proper divisors (1276171488).

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

441920160 is a wasteful number, since it uses less digits than its factorization.

441920160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 441920160 is about 21021.8971551095. The cubic root of 441920160 is about 761.6952922275.

The spelling of 441920160 in words is "four hundred forty-one million, nine hundred twenty thousand, one hundred sixty".