440122560 has 112 divisors (see below), whose sum is σ = 1445666400. Its totient is φ = 113311744.

The previous prime is 440122519. The next prime is 440122561. The reversal of 440122560 is 65221044.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 440122560.

It is not an unprimeable number, because it can be changed into a prime (440122561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19936 + ... + 35744.

Almost surely, 2^440122560 is an apocalyptic number.

440122560 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 440122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722833200).

440122560 is an abundant number, since it is smaller than the sum of its proper divisors (1005543840).

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

440122560 is a wasteful number, since it uses less digits than its factorization.

440122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15858 (or 15848 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 440122560 is about 20979.0981693685. The cubic root of 440122560 is about 760.6611052711.

The spelling of 440122560 in words is "four hundred forty million, one hundred twenty-two thousand, five hundred sixty".