309490944 has 144 divisors (see below), whose sum is σ = 982689792. Its totient is φ = 84547584.

The previous prime is 309490897. The next prime is 309490991. The reversal of 309490944 is 449094903.

It is an interprime number because it is at equal distance from previous prime (309490897) and next prime (309490991).

It is a super-2 number, since 2×309490944² = 191569288836022272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 309490896 and 309490905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122397 + ... + 124899.

Almost surely, 2^309490944 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 309490944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491344896).

309490944 is an abundant number, since it is smaller than the sum of its proper divisors (673198848).

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

309490944 is a wasteful number, since it uses less digits than its factorization.

309490944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 309490944 is about 17592.3547031090. The cubic root of 309490944 is about 676.4192863533.

The spelling of 309490944 in words is "three hundred nine million, four hundred ninety thousand, nine hundred forty-four".