223080480 has 240 divisors, whose sum is σ = 900123840. Its totient is φ = 50969088.

The previous prime is 223080457. The next prime is 223080523. The reversal of 223080480 is 84080322.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×223080480³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89491 + ... + 91949.

It is an arithmetic number, because the mean of its divisors is an integer number (3750516).

Almost surely, 2^223080480 is an apocalyptic number.

223080480 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 223080480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450061920).

223080480 is an abundant number, since it is smaller than the sum of its proper divisors (677043360).

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

223080480 is a wasteful number, since it uses less digits than its factorization.

223080480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 223080480 is about 14935.8789496969. The cubic root of 223080480 is about 606.4856414898.

The spelling of 223080480 in words is "two hundred twenty-three million, eighty thousand, four hundred eighty".