300072960 has 360 divisors, whose sum is σ = 1165456656. Its totient is φ = 70778880.

The previous prime is 300072959. The next prime is 300072977. The reversal of 300072960 is 69270003.

It is a tau number, because it is divible by the number of its divisors (360).

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, 8110062 + ... + 8110098.

Almost surely, 2^300072960 is an apocalyptic number.

300072960 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 300072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582728328).

300072960 is an abundant number, since it is smaller than the sum of its proper divisors (865383696).

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

300072960 is a wasteful number, since it uses less digits than its factorization.

300072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 300072960 is about 17322.6141214310. The cubic root of 300072960 is about 669.4872143812.

The spelling of 300072960 in words is "three hundred million, seventy-two thousand, nine hundred sixty".