441945504 has 576 divisors, whose sum is σ = 1785732480. Its totient is φ = 104509440.

The previous prime is 441945479. The next prime is 441945509. The reversal of 441945504 is 405549144.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441945509) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6054012 + ... + 6054084.

It is an arithmetic number, because the mean of its divisors is an integer number (3100230).

Almost surely, 2^441945504 is an apocalyptic number.

441945504 is a gapful number since it is divisible by the number (44) 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 441945504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892866240).

441945504 is an abundant number, since it is smaller than the sum of its proper divisors (1343786976).

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

441945504 is a wasteful number, since it uses less digits than its factorization.

441945504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 441945504 is about 21022.4999464859. The cubic root of 441945504 is about 761.7098529545.

The spelling of 441945504 in words is "four hundred forty-one million, nine hundred forty-five thousand, five hundred four".