440322480 has 200 divisors, whose sum is σ = 1647259152. Its totient is φ = 108366336.

The previous prime is 440322437. The next prime is 440322499. The reversal of 440322480 is 84223044.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81627 + ... + 86853.

Almost surely, 2^440322480 is an apocalyptic number.

440322480 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 440322480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823629576).

440322480 is an abundant number, since it is smaller than the sum of its proper divisors (1206936672).

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

440322480 is a wasteful number, since it uses less digits than its factorization.

440322480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 440322480 is about 20983.8623708792. The cubic root of 440322480 is about 760.7762613377.

The spelling of 440322480 in words is "four hundred forty million, three hundred twenty-two thousand, four hundred eighty".