320316400 has 120 divisors (see below), whose sum is σ = 825598944. Its totient is φ = 119116800.

The previous prime is 320316389. The next prime is 320316433. The reversal of 320316400 is 4613023.

It is a super-2 number, since 2×320316400² = 205205192217920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339930 + ... + 340870.

Almost surely, 2^320316400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320316400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412799472).

320316400 is an abundant number, since it is smaller than the sum of its proper divisors (505282544).

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

320316400 is a wasteful number, since it uses less digits than its factorization.

320316400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 320316400 is about 17897.3852838899. The cubic root of 320316400 is about 684.2157362419.

Adding to 320316400 its reverse (4613023), we get a palindrome (324929423).

The spelling of 320316400 in words is "three hundred twenty million, three hundred sixteen thousand, four hundred".