306468630 has 64 divisors (see below), whose sum is σ = 880125120. Its totient is φ = 75437568.

The previous prime is 306468601. The next prime is 306468637. The reversal of 306468630 is 36864603.

306468630 is a `hidden beast` number, since 3 + 0 + 646 + 8 + 6 + 3 + 0 = 666.

It is a super-5 number, since 5×306468630⁵ (a number of 44 digits) contains 55555 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306468637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40147 + ... + 47166.

It is an arithmetic number, because the mean of its divisors is an integer number (13751955).

Almost surely, 2^306468630 is an apocalyptic number.

306468630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

306468630 is an abundant number, since it is smaller than the sum of its proper divisors (573656490).

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

306468630 is a wasteful number, since it uses less digits than its factorization.

306468630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87342 (or 87336 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 306468630 is about 17506.2454569791. The cubic root of 306468630 is about 674.2102368159.

The spelling of 306468630 in words is "three hundred six million, four hundred sixty-eight thousand, six hundred thirty".