309085920 has 576 divisors, whose sum is σ = 1320883200. Its totient is φ = 64696320.

The previous prime is 309085919. The next prime is 309085927. The reversal of 309085920 is 29580903.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309085927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3912441 + ... + 3912519.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2^309085920 is an apocalyptic number.

309085920 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 309085920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660441600).

309085920 is an abundant number, since it is smaller than the sum of its proper divisors (1011797280).

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

309085920 is a wasteful number, since it uses less digits than its factorization.

309085920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 309085920 is about 17580.8395703959. The cubic root of 309085920 is about 676.1240858545.

The spelling of 309085920 in words is "three hundred nine million, eighty-five thousand, nine hundred twenty".