441312000 has 144 divisors (see below), whose sum is σ = 1466136672. Its totient is φ = 117657600.

The previous prime is 441311963. The next prime is 441312007. The reversal of 441312000 is 213144.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (441312007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93702 + ... + 98298.

Almost surely, 2^441312000 is an apocalyptic number.

441312000 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 441312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733068336).

441312000 is an abundant number, since it is smaller than the sum of its proper divisors (1024824672).

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

441312000 is an equidigital number, since it uses as much as digits as its factorization.

441312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4631 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 441312000 is about 21007.4272579962. The cubic root of 441312000 is about 761.3457228482.

Adding to 441312000 its reverse (213144), we get a palindrome (441525144).

The spelling of 441312000 in words is "four hundred forty-one million, three hundred twelve thousand".