440950944 has 192 divisors, whose sum is σ = 1391910912. Its totient is φ = 119577600.

The previous prime is 440950921. The next prime is 440950949. The reversal of 440950944 is 449059044.

It is a super-2 number, since 2×440950944² = 388875470028982272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (440950949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1270579 + ... + 1270925.

It is an arithmetic number, because the mean of its divisors is an integer number (7249536).

Almost surely, 2^440950944 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 440950944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695955456).

440950944 is an abundant number, since it is smaller than the sum of its proper divisors (950959968).

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

440950944 is a wasteful number, since it uses less digits than its factorization.

440950944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 440950944 is about 20998.8319675167. The cubic root of 440950944 is about 761.1380364938.

The spelling of 440950944 in words is "four hundred forty million, nine hundred fifty thousand, nine hundred forty-four".