440125920 has 384 divisors, whose sum is σ = 1760330880. Its totient is φ = 101744640.

The previous prime is 440125897. The next prime is 440125921. The reversal of 440125920 is 29521044.

440125920 is a `hidden beast` number, since 4 + 401 + 259 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440125921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 954490 + ... + 954950.

It is an arithmetic number, because the mean of its divisors is an integer number (4584195).

Almost surely, 2^440125920 is an apocalyptic number.

440125920 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 440125920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880165440).

440125920 is an abundant number, since it is smaller than the sum of its proper divisors (1320204960).

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

440125920 is a wasteful number, since it uses less digits than its factorization.

440125920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 440125920 is about 20979.1782489210. The cubic root of 440125920 is about 760.6630409553.

Adding to 440125920 its reverse (29521044), we get a palindrome (469646964).

The spelling of 440125920 in words is "four hundred forty million, one hundred twenty-five thousand, nine hundred twenty".