307946772 has 240 divisors, whose sum is σ = 1000137600. Its totient is φ = 82301184.

The previous prime is 307946761. The next prime is 307946827. The reversal of 307946772 is 277649703.

It is a happy number.

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 79 ways as a sum of consecutive naturals, for example, 1889163 + ... + 1889325.

It is an arithmetic number, because the mean of its divisors is an integer number (4167240).

Almost surely, 2^307946772 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 307946772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500068800).

307946772 is an abundant number, since it is smaller than the sum of its proper divisors (692190828).

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

307946772 is a wasteful number, since it uses less digits than its factorization.

307946772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 307946772 is about 17548.4122358691. The cubic root of 307946772 is about 675.2924362499.

The spelling of 307946772 in words is "three hundred seven million, nine hundred forty-six thousand, seven hundred seventy-two".