223604304 has 160 divisors (see below), whose sum is σ = 728524800. Its totient is φ = 57408000.

The previous prime is 223604263. The next prime is 223604317. The reversal of 223604304 is 403406322.

223604304 = 287² + 288² + ... + 885².

It is a happy number.

It is a super-3 number, since 3×223604304³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372997 + ... + 373595.

It is an arithmetic number, because the mean of its divisors is an integer number (4553280).

Almost surely, 2^223604304 is an apocalyptic number.

223604304 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 223604304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364262400).

223604304 is an abundant number, since it is smaller than the sum of its proper divisors (504920496).

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

223604304 is a wasteful number, since it uses less digits than its factorization.

223604304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 223604304 is about 14953.4044284236. The cubic root of 223604304 is about 606.9599746349.

The spelling of 223604304 in words is "two hundred twenty-three million, six hundred four thousand, three hundred four".