230529024 has 192 divisors, whose sum is σ = 746928000. Its totient is φ = 69672960.

The previous prime is 230529017. The next prime is 230529029. The reversal of 230529024 is 420925032.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230529029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608067 + ... + 608445.

It is an arithmetic number, because the mean of its divisors is an integer number (3890250).

Almost surely, 2^230529024 is an apocalyptic number.

230529024 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 230529024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373464000).

230529024 is an abundant number, since it is smaller than the sum of its proper divisors (516398976).

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

230529024 is a wasteful number, since it uses less digits than its factorization.

230529024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 230529024 is about 15183.1822751359. The cubic root of 230529024 is about 613.1619601021.

It can be divided in two parts, 2305 and 29024, that added together give a square (31329 = 177²).

The spelling of 230529024 in words is "two hundred thirty million, five hundred twenty-nine thousand, twenty-four".