440400402 has 80 divisors (see below), whose sum is σ = 1125337752. Its totient is φ = 127526400.

The previous prime is 440400383. The next prime is 440400413. The reversal of 440400402 is 204004044.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 333464121 + 106936281 = 18261^2 + 10341^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29652 + ... + 41952.

Almost surely, 2^440400402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440400402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562668876).

440400402 is an abundant number, since it is smaller than the sum of its proper divisors (684937350).

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

440400402 is a wasteful number, since it uses less digits than its factorization.

440400402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12345 (or 12336 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 440400402 is about 20985.7190012637. The cubic root of 440400402 is about 760.8211358059.

Adding to 440400402 its reverse (204004044), we get a palindrome (644404446).

The spelling of 440400402 in words is "four hundred forty million, four hundred thousand, four hundred two".