441000432 has 120 divisors (see below), whose sum is σ = 1282945664. Its totient is φ = 141305472.

The previous prime is 441000409. The next prime is 441000481. The reversal of 441000432 is 234000144.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414333 + ... + 415395.

Almost surely, 2^441000432 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 441000432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641472832).

441000432 is an abundant number, since it is smaller than the sum of its proper divisors (841945232).

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

441000432 is a wasteful number, since it uses less digits than its factorization.

441000432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 441000432 is about 21000.0102857118. The cubic root of 441000432 is about 761.1665096460.

Adding to 441000432 its reverse (234000144), we get a palindrome (675000576).

The spelling of 441000432 in words is "four hundred forty-one million, four hundred thirty-two", and thus it is an aban number.