320430240 has 144 divisors (see below), whose sum is σ = 1177649928. Its totient is φ = 78870528.

The previous prime is 320430233. The next prime is 320430283. The reversal of 320430240 is 42034023.

320430240 is a `hidden beast` number, since 320 + 4 + 302 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 83393424 + 237036816 = 9132^2 + 15396^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 10162 + ... + 27278.

Almost surely, 2^320430240 is an apocalyptic number.

320430240 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 320430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588824964).

320430240 is an abundant number, since it is smaller than the sum of its proper divisors (857219688).

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

320430240 is a wasteful number, since it uses less digits than its factorization.

320430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17151 (or 17140 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 320430240 is about 17900.5653542004. The cubic root of 320430240 is about 684.2967830795.

Adding to 320430240 its reverse (42034023), we get a palindrome (362464263).

The spelling of 320430240 in words is "three hundred twenty million, four hundred thirty thousand, two hundred forty".