230636448 has 144 divisors (see below), whose sum is σ = 754318656. Its totient is φ = 65479680.

The previous prime is 230636411. The next prime is 230636489. The reversal of 230636448 is 844636032.

It is a happy number.

230636448 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 3 + 644 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×230636448² = 106386342292113408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469483 + ... + 469973.

It is an arithmetic number, because the mean of its divisors is an integer number (5238324).

Almost surely, 2^230636448 is an apocalyptic number.

230636448 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 230636448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377159328).

230636448 is an abundant number, since it is smaller than the sum of its proper divisors (523682208).

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

230636448 is a wasteful number, since it uses less digits than its factorization.

230636448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 230636448 is about 15186.7194614242. The cubic root of 230636448 is about 613.2571875643.

The spelling of 230636448 in words is "two hundred thirty million, six hundred thirty-six thousand, four hundred forty-eight".