228246408 has 192 divisors, whose sum is σ = 700539840. Its totient is φ = 66673152.

The previous prime is 228246407. The next prime is 228246419. The reversal of 228246408 is 804642822.

It is a happy number.

228246408 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 4 + 640 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (228246407) by changing a digit.

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, 2133091 + ... + 2133197.

It is an arithmetic number, because the mean of its divisors is an integer number (3648645).

Almost surely, 2^228246408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228246408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350269920).

228246408 is an abundant number, since it is smaller than the sum of its proper divisors (472293432).

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

228246408 is a wasteful number, since it uses less digits than its factorization.

228246408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 228246408 is about 15107.8260514212. The cubic root of 228246408 is about 611.1314733736.

The spelling of 228246408 in words is "two hundred twenty-eight million, two hundred forty-six thousand, four hundred eight".