309199680 has 280 divisors, whose sum is σ = 1121176320. Its totient is φ = 80870400.

The previous prime is 309199679. The next prime is 309199687. The reversal of 309199680 is 86991903.

It is a super-2 number, since 2×309199680² = 191208884224204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309199687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2047605 + ... + 2047755.

Almost surely, 2^309199680 is an apocalyptic number.

309199680 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 309199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560588160).

309199680 is an abundant number, since it is smaller than the sum of its proper divisors (811976640).

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

309199680 is a wasteful number, since it uses less digits than its factorization.

309199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 309199680 is about 17584.0746131265. The cubic root of 309199680 is about 676.2070255126.

The spelling of 309199680 in words is "three hundred nine million, one hundred ninety-nine thousand, six hundred eighty".