306630420 has 96 divisors (see below), whose sum is σ = 885295488. Its totient is φ = 79252992.

The previous prime is 306630419. The next prime is 306630437. The reversal of 306630420 is 24036603.

It is a super-3 number, since 3×306630420³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 404682 + ... + 405438.

It is an arithmetic number, because the mean of its divisors is an integer number (9221828).

Almost surely, 2^306630420 is an apocalyptic number.

306630420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306630420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442647744).

306630420 is an abundant number, since it is smaller than the sum of its proper divisors (578665068).

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

306630420 is a wasteful number, since it uses less digits than its factorization.

306630420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 306630420 is about 17510.8657695729. The cubic root of 306630420 is about 674.3288582929.

The spelling of 306630420 in words is "three hundred six million, six hundred thirty thousand, four hundred twenty".