441532000 has 192 divisors, whose sum is σ = 1336293504. Its totient is φ = 139622400.

The previous prime is 441531997. The next prime is 441532009. The reversal of 441532000 is 235144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441532009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363394 + ... + 364606.

It is an arithmetic number, because the mean of its divisors is an integer number (6959862).

Almost surely, 2^441532000 is an apocalyptic number.

441532000 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 441532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668146752).

441532000 is an abundant number, since it is smaller than the sum of its proper divisors (894761504).

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

441532000 is a wasteful number, since it uses less digits than its factorization.

441532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 441532000 is about 21012.6628488633. The cubic root of 441532000 is about 761.4722155440.

Adding to 441532000 its reverse (235144), we get a palindrome (441767144).

The spelling of 441532000 in words is "four hundred forty-one million, five hundred thirty-two thousand".