305774396928 has 1280 divisors, whose sum is σ = 1280318054400. Its totient is φ = 69394268160.

The previous prime is 305774396911. The next prime is 305774396933. The reversal of 305774396928 is 829693477503.

305774396928 is a `hidden beast` number, since 3 + 0 + 577 + 4 + 39 + 6 + 9 + 28 = 666.

It is a super-3 number, since 3×305774396928³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 262918075 + ... + 262919237.

It is an arithmetic number, because the mean of its divisors is an integer number (1000248480).

Almost surely, 2^305774396928 is an apocalyptic number.

305774396928 is a gapful number since it is divisible by the number (38) 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 305774396928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640159027200).

305774396928 is an abundant number, since it is smaller than the sum of its proper divisors (974543657472).

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

305774396928 is a wasteful number, since it uses less digits than its factorization.

305774396928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 305774396928 in words is "three hundred five billion, seven hundred seventy-four million, three hundred ninety-six thousand, nine hundred twenty-eight".