440880440 has 288 divisors, whose sum is σ = 1374388560. Its totient is φ = 126846720.

The previous prime is 440880413. The next prime is 440880443. The reversal of 440880440 is 44088044.

Added to its reverse (44088044) it gives a square (484968484 = 22022²).

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 440880397 and 440880406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440880443) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33913874 + ... + 33913886.

Almost surely, 2^440880440 is an apocalyptic number.

440880440 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 440880440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687194280).

440880440 is an abundant number, since it is smaller than the sum of its proper divisors (933508120).

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

440880440 is a wasteful number, since it uses less digits than its factorization.

440880440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 440880440 is about 20997.1531403664. The cubic root of 440880440 is about 761.0974680079.

Adding to 440880440 its reverse (44088044), we get a square (484968484 = 22022²).

It can be divided in two parts, 4408 and 80440, that added together give a palindrome (84848).

The spelling of 440880440 in words is "four hundred forty million, eight hundred eighty thousand, four hundred forty".