320242500 has 180 divisors, whose sum is σ = 1038205168. Its totient is φ = 83160000.

The previous prime is 320242499. The next prime is 320242561. The reversal of 320242500 is 5242023.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 59 ways as a sum of consecutive naturals, for example, 967335 + ... + 967665.

Almost surely, 2^320242500 is an apocalyptic number.

320242500 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 320242500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519102584).

320242500 is an abundant number, since it is smaller than the sum of its proper divisors (717962668).

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

320242500 is a wasteful number, since it uses less digits than its factorization.

320242500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 320242500 is about 17895.3206174128. The cubic root of 320242500 is about 684.1631138640.

Adding to 320242500 its reverse (5242023), we get a palindrome (325484523).

The spelling of 320242500 in words is "three hundred twenty million, two hundred forty-two thousand, five hundred".