228846464 has 192 divisors, whose sum is σ = 602795520. Its totient is φ = 85478400.

The previous prime is 228846463. The next prime is 228846467. The reversal of 228846464 is 464648822.

228846464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228846463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2138699 + ... + 2138805.

It is an arithmetic number, because the mean of its divisors is an integer number (3139560).

Almost surely, 2^228846464 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 228846464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301397760).

228846464 is an abundant number, since it is smaller than the sum of its proper divisors (373949056).

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

228846464 is a wasteful number, since it uses less digits than its factorization.

228846464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 158 counting only the distinct ones).

The product of its digits is 589824, while the sum is 44.

The square root of 228846464 is about 15127.6721275945. The cubic root of 228846464 is about 611.6665562229. Note that the first 3 decimals are identical.

The spelling of 228846464 in words is "two hundred twenty-eight million, eight hundred forty-six thousand, four hundred sixty-four".