123410400 has 72 divisors (see below), whose sum is σ = 401708664. Its totient is φ = 32908800.

The previous prime is 123410393. The next prime is 123410401. The reversal of 123410400 is 4014321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123410400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123410401) 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, 23311 + ... + 28110.

It is an arithmetic number, because the mean of its divisors is an integer number (5579287).

Almost surely, 2^123410400 is an apocalyptic number.

123410400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123410400 is an abundant number, since it is smaller than the sum of its proper divisors (278298264).

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

123410400 is a wasteful number, since it uses less digits than its factorization.

123410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51444 (or 51431 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 123410400 is about 11109.0233594137. The cubic root of 123410400 is about 497.8714850393.

Adding to 123410400 its reverse (4014321), we get a palindrome (127424721).

The spelling of 123410400 in words is "one hundred twenty-three million, four hundred ten thousand, four hundred".