306478080 has 220 divisors, whose sum is σ = 1099730280. Its totient is φ = 81616896.

The previous prime is 306478031. The next prime is 306478093. The reversal of 306478080 is 80874603.

306478080 is a `hidden beast` number, since 3 + 0 + 647 + 8 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414351 + ... + 415089.

It is an arithmetic number, because the mean of its divisors is an integer number (4998774).

Almost surely, 2^306478080 is an apocalyptic number.

306478080 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 306478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549865140).

306478080 is an abundant number, since it is smaller than the sum of its proper divisors (793252200).

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

306478080 is an equidigital number, since it uses as much as digits as its factorization.

306478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 306478080 is about 17506.5153585744. The cubic root of 306478080 is about 674.2171665314.

The spelling of 306478080 in words is "three hundred six million, four hundred seventy-eight thousand, eighty".