440046640 has 80 divisors (see below), whose sum is σ = 1131998976. Its totient is φ = 157740800.

The previous prime is 440046601. The next prime is 440046641. The reversal of 440046640 is 46640044.

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

It is a junction number, because it is equal to n+sod(n) for n = 440046599 and 440046608.

It is not an unprimeable number, because it can be changed into a prime (440046641) 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, 58959 + ... + 66001.

Almost surely, 2^440046640 is an apocalyptic number.

440046640 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 440046640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565999488).

440046640 is an abundant number, since it is smaller than the sum of its proper divisors (691952336).

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

440046640 is a wasteful number, since it uses less digits than its factorization.

440046640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7138 (or 7132 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 440046640 is about 20977.2886713226. The cubic root of 440046640 is about 760.6173654002.

Adding to 440046640 its reverse (46640044), we get a palindrome (486686684).

It can be divided in two parts, 4400 and 46640, that added together give a triangular number (51040 = T₃₁₉).

The spelling of 440046640 in words is "four hundred forty million, forty-six thousand, six hundred forty".