320557440 has 512 divisors, whose sum is σ = 1311344640. Its totient is φ = 64880640.

The previous prime is 320557429. The next prime is 320557451. The reversal of 320557440 is 44755023.

It is an interprime number because it is at equal distance from previous prime (320557429) and next prime (320557451).

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 = 320557398 and 320557407.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5255010 + ... + 5255070.

It is an arithmetic number, because the mean of its divisors is an integer number (2561220).

Almost surely, 2^320557440 is an apocalyptic number.

320557440 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 320557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655672320).

320557440 is an abundant number, since it is smaller than the sum of its proper divisors (990787200).

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

320557440 is a wasteful number, since it uses less digits than its factorization.

320557440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 320557440 is about 17904.1179620779. The cubic root of 320557440 is about 684.3873186832.

The spelling of 320557440 in words is "three hundred twenty million, five hundred fifty-seven thousand, four hundred forty".