440840820 has 96 divisors (see below), whose sum is σ = 1414361088. Its totient is φ = 100501632.

The previous prime is 440840779. The next prime is 440840837. The reversal of 440840820 is 28048044.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193327 + ... + 195593.

It is an arithmetic number, because the mean of its divisors is an integer number (14732928).

Almost surely, 2^440840820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440840820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707180544).

440840820 is an abundant number, since it is smaller than the sum of its proper divisors (973520268).

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

440840820 is a wasteful number, since it uses less digits than its factorization.

440840820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 440840820 is about 20996.2096579359. The cubic root of 440840820 is about 761.0746684895.

Adding to 440840820 its reverse (28048044), we get a palindrome (468888864).

The spelling of 440840820 in words is "four hundred forty million, eight hundred forty thousand, eight hundred twenty".