124430400 has 126 divisors (see below), whose sum is σ = 442306202. Its totient is φ = 33177600.

The previous prime is 124430389. The next prime is 124430417. The reversal of 124430400 is 4034421.

It can be written as a sum of positive squares in 3 ways, for example, as 419904 + 124010496 = 648^2 + 11136^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10080 + ... + 18720.

Almost surely, 2^124430400 is an apocalyptic number.

124430400 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 124430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221153101).

124430400 is an abundant number, since it is smaller than the sum of its proper divisors (317875802).

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

124430400 is a wasteful number, since it uses less digits than its factorization.

124430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8669 (or 8651 counting only the distinct ones).

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

The square root of 124430400 is about 11154.8375156252. The cubic root of 124430400 is about 499.2393768248.

Adding to 124430400 its reverse (4034421), we get a palindrome (128464821).

The spelling of 124430400 in words is "one hundred twenty-four million, four hundred thirty thousand, four hundred".