228846960 has 120 divisors (see below), whose sum is σ = 793413504. Its totient is φ = 59051520.

The previous prime is 228846949. The next prime is 228846967. The reversal of 228846960 is 69648822.

228846960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×228846960² = 104741862202483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228846967) 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, 17194 + ... + 27446.

Almost surely, 2^228846960 is an apocalyptic number.

228846960 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 228846960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396706752).

228846960 is an abundant number, since it is smaller than the sum of its proper divisors (564566544).

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

228846960 is a wasteful number, since it uses less digits than its factorization.

228846960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10303 (or 10294 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 228846960 is about 15127.6885213836. The cubic root of 228846960 is about 611.6669981297. Note that the first 3 decimals are identical.

The spelling of 228846960 in words is "two hundred twenty-eight million, eight hundred forty-six thousand, nine hundred sixty".