124340400 has 240 divisors, whose sum is σ = 458973600. Its totient is φ = 31933440.

The previous prime is 124340399. The next prime is 124340407. The reversal of 124340400 is 4043421.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124340407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313002 + ... + 313398.

It is an arithmetic number, because the mean of its divisors is an integer number (1912390).

Almost surely, 2^124340400 is an apocalyptic number.

124340400 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 124340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229486800).

124340400 is an abundant number, since it is smaller than the sum of its proper divisors (334633200).

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

124340400 is a wasteful number, since it uses less digits than its factorization.

124340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 124340400 is about 11150.8026616921. The cubic root of 124340400 is about 499.1189818592.

Adding to 124340400 its reverse (4043421), we get a palindrome (128383821).

The spelling of 124340400 in words is "one hundred twenty-four million, three hundred forty thousand, four hundred".