123644400 has 480 divisors, whose sum is σ = 498182400. Its totient is φ = 25804800.

The previous prime is 123644363. The next prime is 123644431. The reversal of 123644400 is 4446321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4263586 + ... + 4263614.

It is an arithmetic number, because the mean of its divisors is an integer number (1037880).

Almost surely, 2^123644400 is an apocalyptic number.

123644400 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 123644400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249091200).

123644400 is an abundant number, since it is smaller than the sum of its proper divisors (374538000).

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

123644400 is a wasteful number, since it uses less digits than its factorization.

123644400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 123644400 is about 11119.5503506212. The cubic root of 123644400 is about 498.1859598091.

The spelling of 123644400 in words is "one hundred twenty-three million, six hundred forty-four thousand, four hundred".