441045000 has 420 divisors, whose sum is σ = 1702997835. Its totient is φ = 106920000.

The previous prime is 441044983. The next prime is 441045013. The reversal of 441045000 is 540144.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 101969604 + 339075396 = 10098^2 + 18414^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14850.

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

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 40094995 + ... + 40095005.

Almost surely, 2^441045000 is an apocalyptic number.

441045000 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 441045000

441045000 is an abundant number, since it is smaller than the sum of its proper divisors (1261952835).

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

441045000 is an equidigital number, since it uses as much as digits as its factorization.

441045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 441045000 is about 21001.0714012405. The cubic root of 441045000 is about 761.1921502303.

Multiplying 441045000 by its sum of digits (18), we get a square (7938810000 = 89100²).

441045000 divided by its sum of digits (18) gives a square (24502500 = 4950²).

Adding to 441045000 its reverse (540144), we get a palindrome (441585144).

The spelling of 441045000 in words is "four hundred forty-one million, forty-five thousand".