306404640 has 192 divisors, whose sum is σ = 1129161600. Its totient is φ = 77386752.

The previous prime is 306404639. The next prime is 306404653. The reversal of 306404640 is 46404603.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 80214 + ... + 83946.

It is an arithmetic number, because the mean of its divisors is an integer number (5881050).

Almost surely, 2^306404640 is an apocalyptic number.

306404640 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 306404640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564580800).

306404640 is an abundant number, since it is smaller than the sum of its proper divisors (822756960).

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

306404640 is a wasteful number, since it uses less digits than its factorization.

306404640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 306404640 is about 17504.4177281051. The cubic root of 306404640 is about 674.1633089937.

The spelling of 306404640 in words is "three hundred six million, four hundred four thousand, six hundred forty".