441405000 has 240 divisors, whose sum is σ = 1584477180. Its totient is φ = 110592000.

The previous prime is 441404993. The next prime is 441405031. The reversal of 441405000 is 504144.

It can be written as a sum of positive squares in 10 ways, for example, as 20088324 + 421316676 = 4482^2 + 20526^2 .

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 59 ways as a sum of consecutive naturals, for example, 764712 + ... + 765288.

Almost surely, 2^441405000 is an apocalyptic number.

441405000 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 441405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792238590).

441405000 is an abundant number, since it is smaller than the sum of its proper divisors (1143072180).

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

441405000 is a wasteful number, since it uses less digits than its factorization.

441405000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 604 counting only the distinct ones).

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

The square root of 441405000 is about 21009.6406442376. The cubic root of 441405000 is about 761.3991998887.

Adding to 441405000 its reverse (504144), we get a palindrome (441909144).

The spelling of 441405000 in words is "four hundred forty-one million, four hundred five thousand".