441072000 has 256 divisors, whose sum is σ = 1626206400. Its totient is φ = 117504000.

The previous prime is 441071993. The next prime is 441072001. The reversal of 441072000 is 270144.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441072001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431490 + ... + 432510.

Almost surely, 2^441072000 is an apocalyptic number.

441072000 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 441072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813103200).

441072000 is an abundant number, since it is smaller than the sum of its proper divisors (1185134400).

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

441072000 is a wasteful number, since it uses less digits than its factorization.

441072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 441072000 is about 21001.7142157492. The cubic root of 441072000 is about 761.2076828621.

The spelling of 441072000 in words is "four hundred forty-one million, seventy-two thousand".