441375168 has 224 divisors, whose sum is σ = 1362090240. Its totient is φ = 124968960.

The previous prime is 441375161. The next prime is 441375169. The reversal of 441375168 is 861573144.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (80640) is a multiple of the sum of its prime factors (315).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441375161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1944271 + ... + 1944497.

It is an arithmetic number, because the mean of its divisors is an integer number (6080760).

Almost surely, 2^441375168 is an apocalyptic number.

441375168 is a gapful number since it is divisible by the number (48) 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 441375168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681045120).

441375168 is an abundant number, since it is smaller than the sum of its proper divisors (920715072).

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

441375168 is a wasteful number, since it uses less digits than its factorization.

441375168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 441375168 is about 21008.9306724545. The cubic root of 441375168 is about 761.3820466525.

The spelling of 441375168 in words is "four hundred forty-one million, three hundred seventy-five thousand, one hundred sixty-eight".