300068406225 has 405 divisors, whose sum is σ = 678965295393. Its totient is φ = 130627002240.

The previous prime is 300068406203. The next prime is 300068406227. The reversal of 300068406225 is 522604860003.

The square root of 300068406225 is 547785.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 28485675729 + 271582730496 = 168777^2 + 521136^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 300068406225 - 2⁵ = 300068406193 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 300068406225.

It is not an unprimeable number, because it can be changed into a prime (300068406227) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 6384434152 + ... + 6384434198.

Almost surely, 2^300068406225 is an apocalyptic number.

300068406225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

300068406225 is the 547785-th square number.

300068406225 is the 273893-rd centered octagonal number.

It is an amenable number.

300068406225 is an abundant number, since it is smaller than the sum of its proper divisors (378896889168).

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

300068406225 is an equidigital number, since it uses as much as digits as its factorization.

300068406225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 300068406225 by its sum of digits (36), we get a square (10802462624100 = 3286710²).

The spelling of 300068406225 in words is "three hundred billion, sixty-eight million, four hundred six thousand, two hundred twenty-five".