440090560 has 336 divisors, whose sum is σ = 1401007104. Its totient is φ = 130056192.

The previous prime is 440090551. The next prime is 440090569. The reversal of 440090560 is 65090044.

It is an interprime number because it is at equal distance from previous prime (440090551) and next prime (440090569).

It is a super-2 number, since 2×440090560² = 387359402002227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440090569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3465217 + ... + 3465343.

It is an arithmetic number, because the mean of its divisors is an integer number (4169664).

Almost surely, 2^440090560 is an apocalyptic number.

440090560 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 440090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700503552).

440090560 is an abundant number, since it is smaller than the sum of its proper divisors (960916544).

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

440090560 is a wasteful number, since it uses less digits than its factorization.

440090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 440090560 is about 20978.3354916447. The cubic root of 440090560 is about 760.6426696901.

The spelling of 440090560 in words is "four hundred forty million, ninety thousand, five hundred sixty".