305463000960 has 1280 divisors, whose sum is σ = 1226158940160. Its totient is φ = 71986102272.

The previous prime is 305463000881. The next prime is 305463000979. The reversal of 305463000960 is 69000364503.

305463000960 is a `hidden beast` number, since 305 + 46 + 300 + 0 + 9 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 2405220417 + ... + 2405220543.

It is an arithmetic number, because the mean of its divisors is an integer number (957936672).

Almost surely, 2^305463000960 is an apocalyptic number.

305463000960 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 305463000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613079470080).

305463000960 is an abundant number, since it is smaller than the sum of its proper divisors (920695939200).

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

305463000960 is a wasteful number, since it uses less digits than its factorization.

305463000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 305463000960 in words is "three hundred five billion, four hundred sixty-three million, nine hundred sixty", and thus it is an aban number.