440082720 has 672 divisors, whose sum is σ = 1983139200. Its totient is φ = 91445760.

The previous prime is 440082701. The next prime is 440082737. The reversal of 440082720 is 27280044.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 111 ways as a sum of consecutive naturals, for example, 40007515 + ... + 40007525.

It is an arithmetic number, because the mean of its divisors is an integer number (2951100).

Almost surely, 2^440082720 is an apocalyptic number.

440082720 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 440082720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991569600).

440082720 is an abundant number, since it is smaller than the sum of its proper divisors (1543056480).

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

440082720 is an equidigital number, since it uses as much as digits as its factorization.

440082720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 440082720 is about 20978.1486313736. The cubic root of 440082720 is about 760.6381528365.

The spelling of 440082720 in words is "four hundred forty million, eighty-two thousand, seven hundred twenty".