441000000 has 441 divisors, whose sum is σ = 1838003817. Its totient is φ = 100800000.

The previous prime is 440999983. The next prime is 441000023. The reversal of 441000000 is 144.

The square root of 441000000 is 21000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 386358336 + 54641664 = 19656^2 + 7392^2 .

It is a tau number, because it is divible by the number of its divisors (441).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 62999997 + ... + 63000003.

Almost surely, 2^441000000 is an apocalyptic number.

441000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

441000000 is the 21000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441000000

441000000 is an abundant number, since it is smaller than the sum of its proper divisors (1397003817).

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

441000000 is an frugal number, since it uses more digits than its factorization.

441000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The cubic root of 441000000 is about 761.1662611020.

Multiplying 441000000 by its product of nonzero digits (16), we get a square (7056000000 = 84000²).

441000000 divided by its product of nonzero digits (16) gives a square (27562500 = 5250²).

Adding to 441000000 its reverse (144), we get a palindrome (441000144).

Multiplying 441000000 by its reverse (144), we get a square (63504000000 = 252000²).

441000000 divided by its reverse (144) gives a square (3062500 = 1750²).

The spelling of 441000000 in words is "four hundred forty-one million", and thus it is an aban number.