300468168 has 288 divisors, whose sum is σ = 1103793600. Its totient is φ = 71850240.

The previous prime is 300468167. The next prime is 300468187. The reversal of 300468168 is 861864003.

It is a happy number.

300468168 is a `hidden beast` number, since 30 + 0 + 468 + 168 = 666.

300468168 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 2×300468168² = 180562239962552448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (300468163) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 792603 + ... + 792981.

Almost surely, 2^300468168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300468168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551896800).

300468168 is an abundant number, since it is smaller than the sum of its proper divisors (803325432).

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

300468168 is a wasteful number, since it uses less digits than its factorization.

300468168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 300468168 is about 17334.0176531582. The cubic root of 300468168 is about 669.7809991893.

The spelling of 300468168 in words is "three hundred million, four hundred sixty-eight thousand, one hundred sixty-eight".