309413832 has 192 divisors, whose sum is σ = 997053120. Its totient is φ = 79252992.

The previous prime is 309413813. The next prime is 309413833. The reversal of 309413832 is 238314903.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 309413793 and 309413802.

It is not an unprimeable number, because it can be changed into a prime (309413833) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 565383 + ... + 565929.

It is an arithmetic number, because the mean of its divisors is an integer number (5192985).

Almost surely, 2^309413832 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 309413832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498526560).

309413832 is an abundant number, since it is smaller than the sum of its proper divisors (687639288).

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

309413832 is a wasteful number, since it uses less digits than its factorization.

309413832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 309413832 is about 17590.1629327303. The cubic root of 309413832 is about 676.3631033668.

The spelling of 309413832 in words is "three hundred nine million, four hundred thirteen thousand, eight hundred thirty-two".