320040000 has 420 divisors, whose sum is σ = 1320377344. Its totient is φ = 72576000.

The previous prime is 320039999. The next prime is 320040029. The reversal of 320040000 is 40023.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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, 2519937 + ... + 2520063.

Almost surely, 2^320040000 is an apocalyptic number.

320040000 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 320040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660188672).

320040000 is an abundant number, since it is smaller than the sum of its proper divisors (1000337344).

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

320040000 is a wasteful number, since it uses less digits than its factorization.

320040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 320040000 is about 17889.6618190507. The cubic root of 320040000 is about 684.0188770824.

Adding to 320040000 its reverse (40023), we get a palindrome (320080023).

The spelling of 320040000 in words is "three hundred twenty million, forty thousand".