440769472 has 112 divisors (see below), whose sum is σ = 1088392032. Its totient is φ = 173998080.

The previous prime is 440769457. The next prime is 440769481. The reversal of 440769472 is 274967044.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 154168 + ... + 157000.

It is an arithmetic number, because the mean of its divisors is an integer number (9717786).

Almost surely, 2^440769472 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 440769472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544196016).

440769472 is an abundant number, since it is smaller than the sum of its proper divisors (647622560).

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

440769472 is a wasteful number, since it uses less digits than its factorization.

440769472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 43.

The square root of 440769472 is about 20994.5105206099. The cubic root of 440769472 is about 761.0336074968.

The spelling of 440769472 in words is "four hundred forty million, seven hundred sixty-nine thousand, four hundred seventy-two".