440402000 has 80 divisors (see below), whose sum is σ = 1127619792. Its totient is φ = 165785600.

The previous prime is 440401991. The next prime is 440402003. The reversal of 440402000 is 204044.

It can be written as a sum of positive squares in 8 ways, for example, as 180418624 + 259983376 = 13432^2 + 16124^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440402003) 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, 27524 + ... + 40476.

Almost surely, 2^440402000 is an apocalyptic number.

440402000 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 440402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563809896).

440402000 is an abundant number, since it is smaller than the sum of its proper divisors (687217792).

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

440402000 is a wasteful number, since it uses less digits than its factorization.

440402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12993 (or 12977 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 440402000 is about 20985.7570747400. The cubic root of 440402000 is about 760.8220560220.

Adding to 440402000 its reverse (204044), we get a palindrome (440606044).

The spelling of 440402000 in words is "four hundred forty million, four hundred two thousand".