440640200 has 384 divisors, whose sum is σ = 1439907840. Its totient is φ = 120960000.

The previous prime is 440640163. The next prime is 440640209. The reversal of 440640200 is 2046044.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (440640209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6206165 + ... + 6206235.

It is an arithmetic number, because the mean of its divisors is an integer number (3749760).

Almost surely, 2^440640200 is an apocalyptic number.

440640200 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 440640200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719953920).

440640200 is an abundant number, since it is smaller than the sum of its proper divisors (999267640).

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

440640200 is a wasteful number, since it uses less digits than its factorization.

440640200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 440640200 is about 20991.4315852921. The cubic root of 440640200 is about 760.9591997756.

Adding to 440640200 its reverse (2046044), we get a palindrome (442686244).

The spelling of 440640200 in words is "four hundred forty million, six hundred forty thousand, two hundred".