320648400 has 90 divisors (see below), whose sum is σ = 1112751510. Its totient is φ = 85505280.

The previous prime is 320648387. The next prime is 320648417. The reversal of 320648400 is 4846023.

It can be written as a sum of positive squares in 3 ways, for example, as 1382976 + 319265424 = 1176^2 + 17868^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 40935 + ... + 48134.

Almost surely, 2^320648400 is an apocalyptic number.

320648400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320648400 is an abundant number, since it is smaller than the sum of its proper divisors (792103110).

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

320648400 is a wasteful number, since it uses less digits than its factorization.

320648400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89093 (or 89079 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 320648400 is about 17906.6579796454. The cubic root of 320648400 is about 684.4520454951.

The spelling of 320648400 in words is "three hundred twenty million, six hundred forty-eight thousand, four hundred".