440622468 has 216 divisors, whose sum is σ = 1366380288. Its totient is φ = 118800000.

The previous prime is 440622463. The next prime is 440622493. The reversal of 440622468 is 864226044.

It is a happy number.

440622468 is a `hidden beast` number, since 4 + 406 + 2 + 246 + 8 = 666.

It is a super-3 number, since 3×440622468³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (440622463) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1755343 + ... + 1755593.

Almost surely, 2^440622468 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 440622468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683190144).

440622468 is an abundant number, since it is smaller than the sum of its proper divisors (925757820).

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

440622468 is a wasteful number, since it uses less digits than its factorization.

440622468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 440622468 is about 20991.0092182344. The cubic root of 440622468 is about 760.9489922718.

The spelling of 440622468 in words is "four hundred forty million, six hundred twenty-two thousand, four hundred sixty-eight".