123830400 has 96 divisors (see below), whose sum is σ = 407898000. Its totient is φ = 33018880.

The previous prime is 123830393. The next prime is 123830401. The reversal of 123830400 is 4038321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (123830401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3151 + ... + 16049.

Almost surely, 2^123830400 is an apocalyptic number.

123830400 is a gapful number since it is divisible by the number (10) 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 123830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203949000).

123830400 is an abundant number, since it is smaller than the sum of its proper divisors (284067600).

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

123830400 is a wasteful number, since it uses less digits than its factorization.

123830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12926 (or 12909 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 123830400 is about 11127.9108551426. The cubic root of 123830400 is about 498.4356440185.

Adding to 123830400 its reverse (4038321), we get a palindrome (127868721).

The spelling of 123830400 in words is "one hundred twenty-three million, eight hundred thirty thousand, four hundred".