305740512 has 288 divisors, whose sum is σ = 1149168384. Its totient is φ = 74649600.

The previous prime is 305740489. The next prime is 305740549. The reversal of 305740512 is 215047503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 376587 + ... + 377397.

It is an arithmetic number, because the mean of its divisors is an integer number (3990168).

Almost surely, 2^305740512 is an apocalyptic number.

305740512 is a gapful number since it is divisible by the number (32) 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 305740512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574584192).

305740512 is an abundant number, since it is smaller than the sum of its proper divisors (843427872).

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

305740512 is a wasteful number, since it uses less digits than its factorization.

305740512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 305740512 is about 17485.4371406608. The cubic root of 305740512 is about 673.6758766410.

The spelling of 305740512 in words is "three hundred five million, seven hundred forty thousand, five hundred twelve".