300145473600 has 672 divisors, whose sum is σ = 1193771974656. Its totient is φ = 64535961600.

The previous prime is 300145473571. The next prime is 300145473671. The reversal of 300145473600 is 6374541003.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47137617 + ... + 47143983.

Almost surely, 2^300145473600 is an apocalyptic number.

300145473600 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 300145473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596885987328).

300145473600 is an abundant number, since it is smaller than the sum of its proper divisors (893626501056).

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

300145473600 is a wasteful number, since it uses less digits than its factorization.

300145473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6483 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 300145473600 in words is "three hundred billion, one hundred forty-five million, four hundred seventy-three thousand, six hundred".