50314400 has 72 divisors (see below), whose sum is σ = 124171740. Its totient is φ = 19906560.

The previous prime is 50314379. The next prime is 50314403. The reversal of 50314400 is 441305.

It can be written as a sum of positive squares in 6 ways, for example, as 39790864 + 10523536 = 6308^2 + 3244^2 .

It is not an unprimeable number, because it can be changed into a prime (50314403) 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, 86912 + ... + 87488.

Almost surely, 2^50314400 is an apocalyptic number.

50314400 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 50314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62085870).

50314400 is an abundant number, since it is smaller than the sum of its proper divisors (73857340).

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

50314400 is a wasteful number, since it uses less digits than its factorization.

50314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 50314400 is about 7093.2644106927. The cubic root of 50314400 is about 369.1737100218.

Adding to 50314400 its reverse (441305), we get a palindrome (50755705).

The spelling of 50314400 in words is "fifty million, three hundred fourteen thousand, four hundred".