441363168 has 60 divisors (see below), whose sum is σ = 1298044440. Its totient is φ = 147120192.

The previous prime is 441363133. The next prime is 441363191. The reversal of 441363168 is 861363144.

It is a happy number.

441363168 is a `hidden beast` number, since 4 + 4 + 13 + 631 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82548 + ... + 87731.

It is an arithmetic number, because the mean of its divisors is an integer number (21634074).

Almost surely, 2^441363168 is an apocalyptic number.

441363168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

441363168 is an abundant number, since it is smaller than the sum of its proper divisors (856681272).

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

441363168 is a wasteful number, since it uses less digits than its factorization.

441363168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170301 (or 170284 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 441363168 is about 21008.6450776817. The cubic root of 441363168 is about 761.3751465004.

It can be divided in two parts, 441 and 363168, that added together give a square (363609 = 603²).

The spelling of 441363168 in words is "four hundred forty-one million, three hundred sixty-three thousand, one hundred sixty-eight".