309225000 has 384 divisors, whose sum is σ = 1199923200. Its totient is φ = 64800000.

The previous prime is 309224987. The next prime is 309225013. The reversal of 309225000 is 522903.

It is an interprime number because it is at equal distance from previous prime (309224987) and next prime (309225013).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 9974985 + ... + 9975015.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2^309225000 is an apocalyptic number.

309225000 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 309225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599961600).

309225000 is an abundant number, since it is smaller than the sum of its proper divisors (890698200).

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

309225000 is a wasteful number, since it uses less digits than its factorization.

309225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 309225000 is about 17584.7945680352. The cubic root of 309225000 is about 676.2254829428.

Adding to 309225000 its reverse (522903), we get a palindrome (309747903).

The spelling of 309225000 in words is "three hundred nine million, two hundred twenty-five thousand".