300405378852 has 72 divisors (see below), whose sum is σ = 784210382592. Its totient is φ = 96860836800.

The previous prime is 300405378811. The next prime is 300405378859. The reversal of 300405378852 is 258873504003.

300405378852 is a `hidden beast` number, since 30 + 0 + 4 + 0 + 537 + 8 + 85 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 300405378798 and 300405378807.

It is not an unprimeable number, because it can be changed into a prime (300405378859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2436327 + ... + 2556657.

Almost surely, 2^300405378852 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 300405378852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392105191296).

300405378852 is an abundant number, since it is smaller than the sum of its proper divisors (483805003740).

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

300405378852 is a wasteful number, since it uses less digits than its factorization.

300405378852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122609 (or 122604 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 300405378852 in words is "three hundred billion, four hundred five million, three hundred seventy-eight thousand, eight hundred fifty-two".