300252960 has 192 divisors, whose sum is σ = 1201132800. Its totient is φ = 68622336.

The previous prime is 300252959. The next prime is 300252973. The reversal of 300252960 is 69252003.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25276 + ... + 35204.

It is an arithmetic number, because the mean of its divisors is an integer number (6255900).

Almost surely, 2^300252960 is an apocalyptic number.

300252960 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 300252960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600566400).

300252960 is an abundant number, since it is smaller than the sum of its proper divisors (900879840).

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

300252960 is a wasteful number, since it uses less digits than its factorization.

300252960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9960 (or 9946 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 300252960 is about 17327.8088632118. The cubic root of 300252960 is about 669.6210525106.

The spelling of 300252960 in words is "three hundred million, two hundred fifty-two thousand, nine hundred sixty".