440225640 has 96 divisors (see below), whose sum is σ = 1437302880. Its totient is φ = 116854656.

The previous prime is 440225629. The next prime is 440225647. The reversal of 440225640 is 46522044.

440225640 is a `hidden beast` number, since 4 + 402 + 256 + 4 + 0 = 666.

It is a super-2 number, since 2×440225640² = 387597228226819200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (440225647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79027 + ... + 84413.

It is an arithmetic number, because the mean of its divisors is an integer number (14971905).

Almost surely, 2^440225640 is an apocalyptic number.

440225640 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 440225640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718651440).

440225640 is an abundant number, since it is smaller than the sum of its proper divisors (997077240).

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

440225640 is a wasteful number, since it uses less digits than its factorization.

440225640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5631 (or 5624 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 440225640 is about 20981.5547564998. The cubic root of 440225640 is about 760.7204848117.

Adding to 440225640 its reverse (46522044), we get a palindrome (486747684).

The spelling of 440225640 in words is "four hundred forty million, two hundred twenty-five thousand, six hundred forty".