307249920 has 216 divisors, whose sum is σ = 1076166000. Its totient is φ = 80928768.

The previous prime is 307249883. The next prime is 307249933. The reversal of 307249920 is 29942703.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1716391 + ... + 1716569.

It is an arithmetic number, because the mean of its divisors is an integer number (4982250).

Almost surely, 2^307249920 is an apocalyptic number.

307249920 is a gapful number since it is divisible by the number (30) 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 307249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538083000).

307249920 is an abundant number, since it is smaller than the sum of its proper divisors (768916080).

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

307249920 is a wasteful number, since it uses less digits than its factorization.

307249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 307249920 is about 17528.5458609663. The cubic root of 307249920 is about 674.7826790107.

The spelling of 307249920 in words is "three hundred seven million, two hundred forty-nine thousand, nine hundred twenty".