229461904 has 45 divisors (see below), whose sum is σ = 518125041. Its totient is φ = 98159040.

The previous prime is 229461887. The next prime is 229461913. The reversal of 229461904 is 409164922.

It is a happy number.

The square root of 229461904 is 15148.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 91164304 + 138297600 = 9548^2 + 11760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 423874 + ... + 424414.

Almost surely, 2^229461904 is an apocalyptic number.

229461904 is the 15148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229461904

229461904 is an abundant number, since it is smaller than the sum of its proper divisors (288663137).

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

229461904 is an frugal number, since it uses more digits than its factorization.

229461904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The cubic root of 229461904 is about 612.2143865649.

The spelling of 229461904 in words is "two hundred twenty-nine million, four hundred sixty-one thousand, nine hundred four".