230029800 has 384 divisors, whose sum is σ = 959938560. Its totient is φ = 44006400.

The previous prime is 230029799. The next prime is 230029801. The reversal of 230029800 is 8920032.

It is an interprime number because it is at equal distance from previous prime (230029799) and next prime (230029801).

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

It is not an unprimeable number, because it can be changed into a prime (230029801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 600409 + ... + 600791.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 2^230029800 is an apocalyptic number.

230029800 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 230029800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479969280).

230029800 is an abundant number, since it is smaller than the sum of its proper divisors (729908760).

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

230029800 is a wasteful number, since it uses less digits than its factorization.

230029800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 230029800 is about 15166.7333331868. The cubic root of 230029800 is about 612.7190275953.

Adding to 230029800 its reverse (8920032), we get a palindrome (238949832).

The spelling of 230029800 in words is "two hundred thirty million, twenty-nine thousand, eight hundred".