440052560 has 80 divisors (see below), whose sum is σ = 1072431360. Its totient is φ = 167608320.

The previous prime is 440052553. The next prime is 440052589. The reversal of 440052560 is 65250044.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571856 + ... + 572624.

It is an arithmetic number, because the mean of its divisors is an integer number (13405392).

Almost surely, 2^440052560 is an apocalyptic number.

440052560 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 440052560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536215680).

440052560 is an abundant number, since it is smaller than the sum of its proper divisors (632378800).

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

440052560 is a wasteful number, since it uses less digits than its factorization.

440052560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 440052560 is about 20977.4297758329. The cubic root of 440052560 is about 760.6207762770.

The spelling of 440052560 in words is "four hundred forty million, fifty-two thousand, five hundred sixty".