306797920 has 288 divisors, whose sum is σ = 912171456. Its totient is φ = 96645120.

The previous prime is 306797893. The next prime is 306797947. The reversal of 306797920 is 29797603.

It is an interprime number because it is at equal distance from previous prime (306797893) and next prime (306797947).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5788614 + ... + 5788666.

It is an arithmetic number, because the mean of its divisors is an integer number (3167262).

Almost surely, 2^306797920 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 306797920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456085728).

306797920 is an abundant number, since it is smaller than the sum of its proper divisors (605373536).

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

306797920 is a wasteful number, since it uses less digits than its factorization.

306797920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 43.

The square root of 306797920 is about 17515.6478612696. The cubic root of 306797920 is about 674.4516222849.

The spelling of 306797920 in words is "three hundred six million, seven hundred ninety-seven thousand, nine hundred twenty".