441114000 has 160 divisors (see below), whose sum is σ = 1461323136. Its totient is φ = 114393600.

The previous prime is 441113971. The next prime is 441114007. The reversal of 441114000 is 411144.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441114007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221007 + ... + 222993.

Almost surely, 2^441114000 is an apocalyptic number.

441114000 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 441114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730661568).

441114000 is an abundant number, since it is smaller than the sum of its proper divisors (1020209136).

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

441114000 is a wasteful number, since it uses less digits than its factorization.

441114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 441114000 is about 21002.7141103239. The cubic root of 441114000 is about 761.2318434738.

Adding to 441114000 its reverse (411144), we get a palindrome (441525144).

The spelling of 441114000 in words is "four hundred forty-one million, one hundred fourteen thousand".