50254400 has 126 divisors (see below), whose sum is σ = 144070578. Its totient is φ = 17203200.

The previous prime is 50254381. The next prime is 50254403. The reversal of 50254400 is 445205.

It is a happy number.

50254400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 10916416 + 39337984 = 3304^2 + 6272^2 .

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

It is not an unprimeable number, because it can be changed into a prime (50254403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 78080 + ... + 78720.

Almost surely, 2^50254400 is an apocalyptic number.

50254400 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 50254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72035289).

50254400 is an abundant number, since it is smaller than the sum of its proper divisors (93816178).

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

50254400 is a wasteful number, since it uses less digits than its factorization.

50254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 50254400 is about 7089.0337846564. The cubic root of 50254400 is about 369.0269049107.

Adding to 50254400 its reverse (445205), we get a palindrome (50699605).

The spelling of 50254400 in words is "fifty million, two hundred fifty-four thousand, four hundred".