320488896 has 336 divisors, whose sum is σ = 1124492544. Its totient is φ = 78594048.

The previous prime is 320488891. The next prime is 320488919. The reversal of 320488896 is 698884023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320488891) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3861271 + ... + 3861353.

It is an arithmetic number, because the mean of its divisors is an integer number (3346704).

Almost surely, 2^320488896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320488896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562246272).

320488896 is an abundant number, since it is smaller than the sum of its proper divisors (804003648).

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

320488896 is a wasteful number, since it uses less digits than its factorization.

320488896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 320488896 is about 17902.2036632365. The cubic root of 320488896 is about 684.3385349266.

The spelling of 320488896 in words is "three hundred twenty million, four hundred eighty-eight thousand, eight hundred ninety-six".