230399400 has 192 divisors, whose sum is σ = 890657280. Its totient is φ = 47865600.

The previous prime is 230399387. The next prime is 230399417. The reversal of 230399400 is 4993032.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 43707 + ... + 48693.

It is an arithmetic number, because the mean of its divisors is an integer number (4638840).

Almost surely, 2^230399400 is an apocalyptic number.

230399400 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 230399400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445328640).

230399400 is an abundant number, since it is smaller than the sum of its proper divisors (660257880).

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

230399400 is a wasteful number, since it uses less digits than its factorization.

230399400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5024 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 230399400 is about 15178.9130045600. The cubic root of 230399400 is about 613.0470137551.

The spelling of 230399400 in words is "two hundred thirty million, three hundred ninety-nine thousand, four hundred".