50922400 has 72 divisors (see below), whose sum is σ = 126765324. Its totient is φ = 19968000.

The previous prime is 50922371. The next prime is 50922419. The reversal of 50922400 is 422905.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7203856 + 43718544 = 2684^2 + 6612^2 .

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41800 + ... + 43000.

Almost surely, 2^50922400 is an apocalyptic number.

50922400 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 50922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63382662).

50922400 is an abundant number, since it is smaller than the sum of its proper divisors (75842924).

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

50922400 is a wasteful number, since it uses less digits than its factorization.

50922400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 50922400 is about 7135.9932735394. The cubic root of 50922400 is about 370.6547937700.

The spelling of 50922400 in words is "fifty million, nine hundred twenty-two thousand, four hundred".