230630400 has 792 divisors, whose sum is σ = 1108720704. Its totient is φ = 44236800.

The previous prime is 230630377. The next prime is 230630419. The reversal of 230630400 is 4036032.

230630400 is a `hidden beast` number, since 2 + 30 + 630 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17740794 + ... + 17740806.

Almost surely, 2^230630400 is an apocalyptic number.

230630400 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 230630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554360352).

230630400 is an abundant number, since it is smaller than the sum of its proper divisors (878090304).

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

230630400 is a wasteful number, since it uses less digits than its factorization.

230630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 230630400 is about 15186.5203387741. The cubic root of 230630400 is about 613.2518270182.

Adding to 230630400 its reverse (4036032), we get a palindrome (234666432).

The spelling of 230630400 in words is "two hundred thirty million, six hundred thirty thousand, four hundred".