307493920 has 48 divisors (see below), whose sum is σ = 731141208. Its totient is φ = 122204160.

The previous prime is 307493917. The next prime is 307493941. The reversal of 307493920 is 29394703.

307493920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 180526096 + 126967824 = 13436^2 + 11268^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 307493920.

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 7 ways as a sum of consecutive naturals, for example, 19000 + ... + 31240.

Almost surely, 2^307493920 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 307493920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365570604).

307493920 is an abundant number, since it is smaller than the sum of its proper divisors (423647288).

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

307493920 is a wasteful number, since it uses less digits than its factorization.

307493920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12413 (or 12405 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The square root of 307493920 is about 17535.5045550449. The cubic root of 307493920 is about 674.9612561210.

The spelling of 307493920 in words is "three hundred seven million, four hundred ninety-three thousand, nine hundred twenty".