320479200 has 288 divisors, whose sum is σ = 1193361120. Its totient is φ = 82944000.

The previous prime is 320479153. The next prime is 320479207. The reversal of 320479200 is 2974023.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320479207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 799000 + ... + 799400.

It is an arithmetic number, because the mean of its divisors is an integer number (4143615).

Almost surely, 2^320479200 is an apocalyptic number.

320479200 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 320479200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596680560).

320479200 is an abundant number, since it is smaller than the sum of its proper divisors (872881920).

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

320479200 is a wasteful number, since it uses less digits than its factorization.

320479200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 320479200 is about 17901.9328565381. The cubic root of 320479200 is about 684.3316335816.

The spelling of 320479200 in words is "three hundred twenty million, four hundred seventy-nine thousand, two hundred".