305713540 has 96 divisors (see below), whose sum is σ = 722421504. Its totient is φ = 107727360.

The previous prime is 305713523. The next prime is 305713547. The reversal of 305713540 is 45317503.

It is a junction number, because it is equal to n+sod(n) for n = 305713499 and 305713508.

It is not an unprimeable number, because it can be changed into a prime (305713547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1830537 + ... + 1830703.

It is an arithmetic number, because the mean of its divisors is an integer number (7525224).

Almost surely, 2^305713540 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 305713540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361210752).

305713540 is an abundant number, since it is smaller than the sum of its proper divisors (416707964).

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

305713540 is a wasteful number, since it uses less digits than its factorization.

305713540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 305713540 is about 17484.6658532555. The cubic root of 305713540 is about 673.6560658108.

The spelling of 305713540 in words is "three hundred five million, seven hundred thirteen thousand, five hundred forty".