441188160 has 336 divisors, whose sum is σ = 1663695936. Its totient is φ = 98746368.

The previous prime is 441188147. The next prime is 441188161. The reversal of 441188160 is 61881144.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441188161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3904264 + ... + 3904376.

It is an arithmetic number, because the mean of its divisors is an integer number (4951476).

Almost surely, 2^441188160 is an apocalyptic number.

441188160 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 441188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831847968).

441188160 is an abundant number, since it is smaller than the sum of its proper divisors (1222507776).

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

441188160 is a wasteful number, since it uses less digits than its factorization.

441188160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 441188160 is about 21004.4795222353. The cubic root of 441188160 is about 761.2745004666.

The spelling of 441188160 in words is "four hundred forty-one million, one hundred eighty-eight thousand, one hundred sixty".