230153424 has 80 divisors (see below), whose sum is σ = 618769920. Its totient is φ = 73635840.

The previous prime is 230153423. The next prime is 230153437. The reversal of 230153424 is 424351032.

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

It is a junction number, because it is equal to n+sod(n) for n = 230153394 and 230153403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230153423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 203292 + ... + 204420.

It is an arithmetic number, because the mean of its divisors is an integer number (7734624).

Almost surely, 2^230153424 is an apocalyptic number.

230153424 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 230153424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309384960).

230153424 is an abundant number, since it is smaller than the sum of its proper divisors (388616496).

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

230153424 is a wasteful number, since it uses less digits than its factorization.

230153424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 230153424 is about 15170.8082843334. The cubic root of 230153424 is about 612.8287716541.

The spelling of 230153424 in words is "two hundred thirty million, one hundred fifty-three thousand, four hundred twenty-four".