223480960 has 64 divisors (see below), whose sum is σ = 552727800. Its totient is φ = 86302720.

The previous prime is 223480951. The next prime is 223480981. The reversal of 223480960 is 69084322.

It can be written as a sum of positive squares in 4 ways, for example, as 192210496 + 31270464 = 13864^2 + 5592^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12540 + ... + 24580.

Almost surely, 2^223480960 is an apocalyptic number.

223480960 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 223480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276363900).

223480960 is an abundant number, since it is smaller than the sum of its proper divisors (329246840).

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

223480960 is a wasteful number, since it uses less digits than its factorization.

223480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12089 (or 12077 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 223480960 is about 14949.2795813042. The cubic root of 223480960 is about 606.8483509026.

The spelling of 223480960 in words is "two hundred twenty-three million, four hundred eighty thousand, nine hundred sixty".