320100480 has 384 divisors, whose sum is σ = 1340426880. Its totient is φ = 68714496.

The previous prime is 320100479. The next prime is 320100481. The reversal of 320100480 is 84001023.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (320100479) and next prime (320100481).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (320100481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 685207 + ... + 685673.

It is an arithmetic number, because the mean of its divisors is an integer number (3490695).

Almost surely, 2^320100480 is an apocalyptic number.

320100480 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 320100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670213440).

320100480 is an abundant number, since it is smaller than the sum of its proper divisors (1020326400).

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

320100480 is a wasteful number, since it uses less digits than its factorization.

320100480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 320100480 is about 17891.3521009453. The cubic root of 320100480 is about 684.0619621718.

The spelling of 320100480 in words is "three hundred twenty million, one hundred thousand, four hundred eighty".