220304448 has 280 divisors, whose sum is σ = 805476672. Its totient is φ = 57977856.

The previous prime is 220304417. The next prime is 220304473. The reversal of 220304448 is 844403022.

It is a happy number.

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, 471511 + ... + 471977.

Almost surely, 2^220304448 is an apocalyptic number.

220304448 is a gapful number since it is divisible by the number (28) 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 220304448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402738336).

220304448 is an abundant number, since it is smaller than the sum of its proper divisors (585172224).

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

220304448 is a wasteful number, since it uses less digits than its factorization.

220304448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 220304448 is about 14842.6563660283. The cubic root of 220304448 is about 603.9594142575.

The spelling of 220304448 in words is "two hundred twenty million, three hundred four thousand, four hundred forty-eight".