440213424 has 80 divisors (see below), whose sum is σ = 1305487872. Its totient is φ = 125213184.

The previous prime is 440213377. The next prime is 440213429. The reversal of 440213424 is 424312044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 440213394 and 440213403.

It is not an unprimeable number, because it can be changed into a prime (440213429) 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, 75477 + ... + 81099.

Almost surely, 2^440213424 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 440213424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652743936).

440213424 is an abundant number, since it is smaller than the sum of its proper divisors (865274448).

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

440213424 is a wasteful number, since it uses less digits than its factorization.

440213424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5874 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 440213424 is about 20981.2636416399. The cubic root of 440213424 is about 760.7134482328.

Adding to 440213424 its reverse (424312044), we get a palindrome (864525468).

The spelling of 440213424 in words is "four hundred forty million, two hundred thirteen thousand, four hundred twenty-four".