124450400 has 72 divisors (see below), whose sum is σ = 308120904. Its totient is φ = 49075200.

The previous prime is 124450357. The next prime is 124450409. The reversal of 124450400 is 4054421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124450409) 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, 57335 + ... + 59465.

It is an arithmetic number, because the mean of its divisors is an integer number (4279457).

Almost surely, 2^124450400 is an apocalyptic number.

124450400 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 124450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154060452).

124450400 is an abundant number, since it is smaller than the sum of its proper divisors (183670504).

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

124450400 is a wasteful number, since it uses less digits than its factorization.

124450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 124450400 is about 11155.7339516502. The cubic root of 124450400 is about 499.2661233772.

The spelling of 124450400 in words is "one hundred twenty-four million, four hundred fifty thousand, four hundred".