230810400 has 108 divisors (see below), whose sum is σ = 813920562. Its totient is φ = 61547520.

The previous prime is 230810399. The next prime is 230810401. The reversal of 230810400 is 4018032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230810399) and next prime (230810401).

It can be written as a sum of positive squares in 3 ways, for example, as 224640144 + 6170256 = 14988^2 + 2484^2 .

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

It is not an unprimeable number, because it can be changed into a prime (230810401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8829 + ... + 23228.

Almost surely, 2^230810400 is an apocalyptic number.

230810400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230810400 is an abundant number, since it is smaller than the sum of its proper divisors (583110162).

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

230810400 is a wasteful number, since it uses less digits than its factorization.

230810400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32083 (or 32067 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 230810400 is about 15192.4454910985. The cubic root of 230810400 is about 613.4113269856.

Adding to 230810400 its reverse (4018032), we get a palindrome (234828432).

The spelling of 230810400 in words is "two hundred thirty million, eight hundred ten thousand, four hundred".