320449440 has 192 divisors, whose sum is σ = 1089728640. Its totient is φ = 78888960.

The previous prime is 320449433. The next prime is 320449477. The reversal of 320449440 is 44944023.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 320449398 and 320449407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373492 + ... + 374348.

It is an arithmetic number, because the mean of its divisors is an integer number (5675670).

Almost surely, 2^320449440 is an apocalyptic number.

320449440 is a gapful number since it is divisible by the number (30) 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 320449440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544864320).

320449440 is an abundant number, since it is smaller than the sum of its proper divisors (769279200).

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

320449440 is a wasteful number, since it uses less digits than its factorization.

320449440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 320449440 is about 17901.1016420778. The cubic root of 320449440 is about 684.3104503661.

The spelling of 320449440 in words is "three hundred twenty million, four hundred forty-nine thousand, four hundred forty".