229776960 has 224 divisors, whose sum is σ = 861437952. Its totient is φ = 50780160.

The previous prime is 229776959. The next prime is 229776971. The reversal of 229776960 is 69677922.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207769 + ... + 208871.

Almost surely, 2^229776960 is an apocalyptic number.

229776960 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 229776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430718976).

229776960 is an abundant number, since it is smaller than the sum of its proper divisors (631660992).

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

229776960 is a wasteful number, since it uses less digits than its factorization.

229776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 229776960 is about 15158.3956934763. The cubic root of 229776960 is about 612.4944528166.

The spelling of 229776960 in words is "two hundred twenty-nine million, seven hundred seventy-six thousand, nine hundred sixty".