228030480 has 240 divisors, whose sum is σ = 808966080. Its totient is φ = 57480192.

The previous prime is 228030461. The next prime is 228030499. The reversal of 228030480 is 84030822.

228030480 is a `hidden beast` number, since 2 + 280 + 304 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (228030461) and next prime (228030499).

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1398879 + ... + 1399041.

It is an arithmetic number, because the mean of its divisors is an integer number (3370692).

Almost surely, 2^228030480 is an apocalyptic number.

228030480 is a gapful number since it is divisible by the number (20) 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 228030480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404483040).

228030480 is an abundant number, since it is smaller than the sum of its proper divisors (580935600).

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

228030480 is a wasteful number, since it uses less digits than its factorization.

228030480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 228030480 is about 15100.6781304682. The cubic root of 228030480 is about 610.9386962887.

The spelling of 228030480 in words is "two hundred twenty-eight million, thirty thousand, four hundred eighty".