223780480 has 256 divisors, whose sum is σ = 705024000. Its totient is φ = 65802240.

The previous prime is 223780457. The next prime is 223780483. The reversal of 223780480 is 84087322.

It is not an unprimeable number, because it can be changed into a prime (223780483) 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 31 ways as a sum of consecutive naturals, for example, 936201 + ... + 936439.

It is an arithmetic number, because the mean of its divisors is an integer number (2754000).

Almost surely, 2^223780480 is an apocalyptic number.

223780480 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 223780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352512000).

223780480 is an abundant number, since it is smaller than the sum of its proper divisors (481243520).

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

223780480 is a wasteful number, since it uses less digits than its factorization.

223780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 223780480 is about 14959.2941009929. The cubic root of 223780480 is about 607.1193390528.

The spelling of 223780480 in words is "two hundred twenty-three million, seven hundred eighty thousand, four hundred eighty".