306403664 has 30 divisors (see below), whose sum is σ = 690582474. Its totient is φ = 131315520.

The previous prime is 306403661. The next prime is 306403667. The reversal of 306403664 is 466304603.

It is an interprime number because it is at equal distance from previous prime (306403661) and next prime (306403667).

It can be written as a sum of positive squares in only one way, i.e., 306250000 + 153664 = 17500^2 + 392^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 306403664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306403661) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 194627 + ... + 196194.

Almost surely, 2^306403664 is an apocalyptic number.

It is an amenable number.

306403664 is an abundant number, since it is smaller than the sum of its proper divisors (384178810).

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

306403664 is a wasteful number, since it uses less digits than its factorization.

306403664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390843 (or 390830 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The square root of 306403664 is about 17504.3898494063. The cubic root of 306403664 is about 674.1625931820.

The spelling of 306403664 in words is "three hundred six million, four hundred three thousand, six hundred sixty-four".