230496 has 60 divisors (see below), whose sum is σ = 705852. Its totient is φ = 65856.

The previous prime is 230479. The next prime is 230501. The reversal of 230496 is 694032.

230496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a d-powerful number, because it can be written as 2⁷ + 3¹¹ + 4 + 0 + 9⁴ + 6⁶ .

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 32925 + ... + 32931.

230496 is a Friedman number, since it can be written as 6*(9+3+2+0)^4, using all its digits and the basic arithmetic operations.

2²³⁰⁴⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352926).

230496 is an abundant number, since it is smaller than the sum of its proper divisors (475356).

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

230496 is an frugal number, since it uses more digits than its factorization.

230496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 230496 is about 480.0999895855. The cubic root of 230496 is about 61.3132679584.

Multiplying 230496 by its sum of digits (24), we get a square (5531904 = 2352²).

230496 divided by its sum of digits (24) gives a square (9604 = 98²).

The spelling of 230496 in words is "two hundred thirty thousand, four hundred ninety-six".