306468736 has 96 divisors (see below), whose sum is σ = 717563880. Its totient is φ = 129991680.

The previous prime is 306468733. The next prime is 306468749. The reversal of 306468736 is 637864603.

It is a super-4 number, since 4×306468736⁴ (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 306468692 and 306468701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306468733) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 821446 + ... + 821818.

Almost surely, 2^306468736 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 306468736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358781940).

306468736 is an abundant number, since it is smaller than the sum of its proper divisors (411095144).

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

306468736 is a wasteful number, since it uses less digits than its factorization.

306468736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The square root of 306468736 is about 17506.2484844698. The cubic root of 306468736 is about 674.2103145468.

The spelling of 306468736 in words is "three hundred six million, four hundred sixty-eight thousand, seven hundred thirty-six".