440648 has 32 divisors (see below), whose sum is σ = 940800. Its totient is φ = 191808.

The previous prime is 440641. The next prime is 440651. The reversal of 440648 is 846044.

It is a super-3 number, since 3×440648³ = 256682738836133376, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (440641) by changing a digit.

440648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1865 + ... + 2087.

It is an arithmetic number, because the mean of its divisors is an integer number (29400).

2⁴⁴⁰⁶⁴⁸ 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 440648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470400).

440648 is an abundant number, since it is smaller than the sum of its proper divisors (500152).

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

440648 is a wasteful number, since it uses less digits than its factorization.

440648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 440648 is about 663.8132267438. The cubic root of 440648 is about 76.0963689793.

The spelling of 440648 in words is "four hundred forty thousand, six hundred forty-eight".