440352 has 72 divisors (see below), whose sum is σ = 1375920. Its totient is φ = 132480.

The previous prime is 440347. The next prime is 440371. The reversal of 440352 is 253044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 4⁵ + 4⁹ + 3¹¹ + 0 + 5 + 2⁵ .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3099 + ... + 3237.

It is an arithmetic number, because the mean of its divisors is an integer number (19110).

2⁴⁴⁰³⁵² 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 440352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687960).

440352 is an abundant number, since it is smaller than the sum of its proper divisors (935568).

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

440352 is a wasteful number, since it uses less digits than its factorization.

440352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 440352 is about 663.5902350095. The cubic root of 440352 is about 76.0793262221.

Adding to 440352 its reverse (253044), we get a palindrome (693396).

The spelling of 440352 in words is "four hundred forty thousand, three hundred fifty-two".