309007872 has 100 divisors (see below), whose sum is σ = 922430916. Its totient is φ = 102988800.

The previous prime is 309007859. The next prime is 309007901. The reversal of 309007872 is 278700903.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 37747 + ... + 45197.

Almost surely, 2^309007872 is an apocalyptic number.

309007872 is a gapful number since it is divisible by the number (32) 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 309007872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461215458).

309007872 is an abundant number, since it is smaller than the sum of its proper divisors (613423044).

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

309007872 is an frugal number, since it uses more digits than its factorization.

309007872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7481 (or 7456 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 309007872 is about 17578.6197410377. The cubic root of 309007872 is about 676.0671711785.

The spelling of 309007872 in words is "three hundred nine million, seven thousand, eight hundred seventy-two".