440521312 has 72 divisors (see below), whose sum is σ = 1089538128. Its totient is φ = 171621120.

The previous prime is 440521309. The next prime is 440521313. The reversal of 440521312 is 213125044.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440521313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18978 + ... + 35230.

It is an arithmetic number, because the mean of its divisors is an integer number (15132474).

Almost surely, 2^440521312 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 440521312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544769064).

440521312 is an abundant number, since it is smaller than the sum of its proper divisors (649016816).

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

440521312 is a wasteful number, since it uses less digits than its factorization.

440521312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16292 (or 16273 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 440521312 is about 20988.5995721487. The cubic root of 440521312 is about 760.8907561376.

Adding to 440521312 its reverse (213125044), we get a palindrome (653646356).

The spelling of 440521312 in words is "four hundred forty million, five hundred twenty-one thousand, three hundred twelve".