300000960 has 336 divisors, whose sum is σ = 1232464896. Its totient is φ = 65488896.

The previous prime is 300000959. The next prime is 300000991. The reversal of 300000960 is 69000003.

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 (18).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463357 + ... + 464003.

Almost surely, 2^300000960 is an apocalyptic number.

300000960 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 300000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616232448).

300000960 is an abundant number, since it is smaller than the sum of its proper divisors (932463936).

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

300000960 is a wasteful number, since it uses less digits than its factorization.

300000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 300000960 is about 17320.5357884795. The cubic root of 300000960 is about 669.4336641432.

Adding to 300000960 its reverse (69000003), we get a palindrome (369000963).

The spelling of 300000960 in words is "three hundred million, nine hundred sixty", and thus it is an aban number.