441945920 has 224 divisors, whose sum is σ = 1228953600. Its totient is φ = 150036480.

The previous prime is 441945901. The next prime is 441945937. The reversal of 441945920 is 29549144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2966006 + ... + 2966154.

It is an arithmetic number, because the mean of its divisors is an integer number (5486400).

Almost surely, 2^441945920 is an apocalyptic number.

441945920 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 441945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614476800).

441945920 is an abundant number, since it is smaller than the sum of its proper divisors (787007680).

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

441945920 is a wasteful number, since it uses less digits than its factorization.

441945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 441945920 is about 21022.5098406446. The cubic root of 441945920 is about 761.7100919517.

The spelling of 441945920 in words is "four hundred forty-one million, nine hundred forty-five thousand, nine hundred twenty".