441165312 has 320 divisors, whose sum is σ = 1539901440. Its totient is φ = 122093568.

The previous prime is 441165311. The next prime is 441165331. The reversal of 441165312 is 213561144.

It is a happy number.

441165312 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 653 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441165311) 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 31 ways as a sum of consecutive naturals, for example, 4548048 + ... + 4548144.

It is an arithmetic number, because the mean of its divisors is an integer number (4812192).

Almost surely, 2^441165312 is an apocalyptic number.

441165312 is a gapful number since it is divisible by the number (42) 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 441165312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769950720).

441165312 is an abundant number, since it is smaller than the sum of its proper divisors (1098736128).

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

441165312 is an equidigital number, since it uses as much as digits as its factorization.

441165312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 156 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 441165312 is about 21003.9356312097. The cubic root of 441165312 is about 761.2613587570.

The spelling of 441165312 in words is "four hundred forty-one million, one hundred sixty-five thousand, three hundred twelve".