440844240 has 80 divisors (see below), whose sum is σ = 1372912128. Its totient is φ = 117017088.

The previous prime is 440844203. The next prime is 440844241. The reversal of 440844240 is 42448044.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 440844198 and 440844207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440844241) 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, 49402 + ... + 57638.

Almost surely, 2^440844240 is an apocalyptic number.

440844240 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 440844240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686456064).

440844240 is an abundant number, since it is smaller than the sum of its proper divisors (932067888).

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

440844240 is a wasteful number, since it uses less digits than its factorization.

440844240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8476 (or 8470 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

The square root of 440844240 is about 20996.2911010493. The cubic root of 440844240 is about 761.0766365987.

The spelling of 440844240 in words is "four hundred forty million, eight hundred forty-four thousand, two hundred forty".