230073600 has 216 divisors, whose sum is σ = 793824192. Its totient is φ = 58572800.

The previous prime is 230073541. The next prime is 230073611. The reversal of 230073600 is 6370032.

It is a super-2 number, since 2×230073600² = 105867722833920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441340 + ... + 441860.

It is an arithmetic number, because the mean of its divisors is an integer number (3675112).

Almost surely, 2^230073600 is an apocalyptic number.

230073600 is a gapful number since it is divisible by the number (20) 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 230073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396912096).

230073600 is an abundant number, since it is smaller than the sum of its proper divisors (563750592).

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

230073600 is a wasteful number, since it uses less digits than its factorization.

230073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 230073600 is about 15168.1772141546. The cubic root of 230073600 is about 612.7579144269.

The spelling of 230073600 in words is "two hundred thirty million, seventy-three thousand, six hundred".