16441800 has 96 divisors (see below), whose sum is σ = 51856800. Its totient is φ = 4308480.

The previous prime is 16441751. The next prime is 16441813. The reversal of 16441800 is 814461.

It is a super-3 number, since 3×16441800³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39996 + ... + 40404.

It is an arithmetic number, because the mean of its divisors is an integer number (540175).

Almost surely, 2^16441800 is an apocalyptic number.

16441800 is a gapful number since it is divisible by the number (10) 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 16441800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25928400).

16441800 is an abundant number, since it is smaller than the sum of its proper divisors (35415000).

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

16441800 is a wasteful number, since it uses less digits than its factorization.

16441800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 16441800 is about 4054.8489490979. The cubic root of 16441800 is about 254.2824889426.

The spelling of 16441800 in words is "sixteen million, four hundred forty-one thousand, eight hundred".