440479072 has 96 divisors (see below), whose sum is σ = 1011999744. Its totient is φ = 186700800.

The previous prime is 440479069. The next prime is 440479097. The reversal of 440479072 is 270974044.

It is a super-5 number, since 5×440479072⁵ (a number of 44 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331273 + ... + 332599.

It is an arithmetic number, because the mean of its divisors is an integer number (10541664).

Almost surely, 2^440479072 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 440479072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505999872).

440479072 is an abundant number, since it is smaller than the sum of its proper divisors (571520672).

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

440479072 is a wasteful number, since it uses less digits than its factorization.

440479072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 440479072 is about 20987.5932874639. The cubic root of 440479072 is about 760.8664356700.

The spelling of 440479072 in words is "four hundred forty million, four hundred seventy-nine thousand, seventy-two".