301680480 has 144 divisors (see below), whose sum is σ = 1003517424. Its totient is φ = 76170240.

The previous prime is 301680403. The next prime is 301680493. The reversal of 301680480 is 84086103.

It is a happy number.

301680480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×301680480² = 182022224026060800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 172410 + ... + 174150.

It is an arithmetic number, because the mean of its divisors is an integer number (6968871).

Almost surely, 2^301680480 is an apocalyptic number.

301680480 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 301680480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501758712).

301680480 is an abundant number, since it is smaller than the sum of its proper divisors (701836944).

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

301680480 is a wasteful number, since it uses less digits than its factorization.

301680480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 301680480 is about 17368.9516091214. The cubic root of 301680480 is about 670.6805885877.

The spelling of 301680480 in words is "three hundred one million, six hundred eighty thousand, four hundred eighty".