440212520 has 96 divisors (see below), whose sum is σ = 1146247200. Its totient is φ = 151620480.

The previous prime is 440212517. The next prime is 440212559. The reversal of 440212520 is 25212044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 440212492 and 440212501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89567 + ... + 94353.

It is an arithmetic number, because the mean of its divisors is an integer number (11940075).

Almost surely, 2^440212520 is an apocalyptic number.

440212520 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 440212520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573123600).

440212520 is an abundant number, since it is smaller than the sum of its proper divisors (706034680).

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

440212520 is a wasteful number, since it uses less digits than its factorization.

440212520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4839 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 440212520 is about 20981.2420985985. The cubic root of 440212520 is about 760.7129275115.

Adding to 440212520 its reverse (25212044), we get a palindrome (465424564).

The spelling of 440212520 in words is "four hundred forty million, two hundred twelve thousand, five hundred twenty".