309444894720 has 504 divisors, whose sum is σ = 1161771479856. Its totient is φ = 76155715584.

The previous prime is 309444894709. The next prime is 309444894727. The reversal of 309444894720 is 27498444903.

309444894720 is a `hidden beast` number, since 3 + 0 + 94 + 4 + 4 + 89 + 472 + 0 = 666.

It is a super-2 number, since 2×309444894720² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309444894727) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62297677 + ... + 62302643.

Almost surely, 2^309444894720 is an apocalyptic number.

309444894720 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 309444894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580885739928).

309444894720 is an abundant number, since it is smaller than the sum of its proper divisors (852326585136).

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

309444894720 is a wasteful number, since it uses less digits than its factorization.

309444894720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5030 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 309444894720 in words is "three hundred nine billion, four hundred forty-four million, eight hundred ninety-four thousand, seven hundred twenty".