220496304 has 80 divisors (see below), whose sum is σ = 672020480. Its totient is φ = 60963840.

The previous prime is 220496299. The next prime is 220496329. The reversal of 220496304 is 403694022.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169 + ... + 21000.

It is an arithmetic number, because the mean of its divisors is an integer number (8400256).

Almost surely, 2^220496304 is an apocalyptic number.

220496304 is a gapful number since it is divisible by the number (24) 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 220496304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336010240).

220496304 is an abundant number, since it is smaller than the sum of its proper divisors (451524176).

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

220496304 is a wasteful number, since it uses less digits than its factorization.

220496304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21218 (or 21212 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 220496304 is about 14849.1179536025. The cubic root of 220496304 is about 604.1346862776.

The spelling of 220496304 in words is "two hundred twenty million, four hundred ninety-six thousand, three hundred four".