50124800 has 144 divisors (see below), whose sum is σ = 137100600. Its totient is φ = 18022400.

The previous prime is 50124791. The next prime is 50124821. The reversal of 50124800 is 842105.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 563156 + ... + 563244.

Almost surely, 2^50124800 is an apocalyptic number.

50124800 is a gapful number since it is divisible by the number (50) 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 50124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68550300).

50124800 is an abundant number, since it is smaller than the sum of its proper divisors (86975800).

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

50124800 is a wasteful number, since it uses less digits than its factorization.

50124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 50124800 is about 7079.8870047480. The cubic root of 50124800 is about 368.7094066203.

Adding to 50124800 its reverse (842105), we get a palindrome (50966905).

The spelling of 50124800 in words is "fifty million, one hundred twenty-four thousand, eight hundred".