309242448 has 100 divisors (see below), whose sum is σ = 919370100. Its totient is φ = 100279296.

The previous prime is 309242447. The next prime is 309242449. The reversal of 309242448 is 844242903.

It is an interprime number because it is at equal distance from previous prime (309242447) and next prime (309242449).

It can be written as a sum of positive squares in 2 ways, for example, as 289952784 + 19289664 = 17028^2 + 4392^2 .

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 (309242443) 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 19 ways as a sum of consecutive naturals, for example, 44728 + ... + 51176.

It is an arithmetic number, because the mean of its divisors is an integer number (9193701).

Almost surely, 2^309242448 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 309242448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459685050).

309242448 is an abundant number, since it is smaller than the sum of its proper divisors (610127652).

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

309242448 is a wasteful number, since it uses less digits than its factorization.

309242448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6506 (or 6491 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 309242448 is about 17585.2906714674. The cubic root of 309242448 is about 676.2382013629.

The spelling of 309242448 in words is "three hundred nine million, two hundred forty-two thousand, four hundred forty-eight".