320404032 has 224 divisors, whose sum is σ = 1075334400. Its totient is φ = 92676096.

The previous prime is 320404001. The next prime is 320404033. The reversal of 320404032 is 230404023.

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

It is a junction number, because it is equal to n+sod(n) for n = 320403996 and 320404014.

It is not an unprimeable number, because it can be changed into a prime (320404033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381469 + ... + 382307.

It is an arithmetic number, because the mean of its divisors is an integer number (4800600).

Almost surely, 2^320404032 is an apocalyptic number.

320404032 is a gapful number since it is divisible by the number (32) 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 320404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537667200).

320404032 is an abundant number, since it is smaller than the sum of its proper divisors (754930368).

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

320404032 is a wasteful number, since it uses less digits than its factorization.

320404032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 874 counting only the distinct ones).

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

The square root of 320404032 is about 17899.8332953131. The cubic root of 320404032 is about 684.2781263519.

Adding to 320404032 its reverse (230404023), we get a palindrome (550808055).

Subtracting from 320404032 its reverse (230404023), we obtain a palindrome (90000009).

The spelling of 320404032 in words is "three hundred twenty million, four hundred four thousand, thirty-two".