50114400 has 288 divisors, whose sum is σ = 197487360. Its totient is φ = 10782720.

The previous prime is 50114377. The next prime is 50114429. The reversal of 50114400 is 441105.

It is a super-2 number, since 2×50114400² = 5022906174720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 50114400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319122 + ... + 319278.

It is an arithmetic number, because the mean of its divisors is an integer number (685720).

Almost surely, 2^50114400 is an apocalyptic number.

50114400 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 50114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98743680).

50114400 is an abundant number, since it is smaller than the sum of its proper divisors (147372960).

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

50114400 is a wasteful number, since it uses less digits than its factorization.

50114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 50114400 is about 7079.1524916476. The cubic root of 50114400 is about 368.6839046528.

Adding to 50114400 its reverse (441105), we get a palindrome (50555505).

The spelling of 50114400 in words is "fifty million, one hundred fourteen thousand, four hundred".