441899172 has 288 divisors, whose sum is σ = 1416683520. Its totient is φ = 117936000.

The previous prime is 441899153. The next prime is 441899231. The reversal of 441899172 is 271998144.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6223897 + ... + 6223967.

It is an arithmetic number, because the mean of its divisors is an integer number (4919040).

Almost surely, 2^441899172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441899172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708341760).

441899172 is an abundant number, since it is smaller than the sum of its proper divisors (974784348).

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

441899172 is a wasteful number, since it uses less digits than its factorization.

441899172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 441899172 is about 21021.3979554168. The cubic root of 441899172 is about 761.6832337040.

It can be divided in two parts, 44189 and 9172, that added together give a square (53361 = 231²).

The spelling of 441899172 in words is "four hundred forty-one million, eight hundred ninety-nine thousand, one hundred seventy-two".