50022400 has 72 divisors (see below), whose sum is σ = 124152210. Its totient is φ = 19988480.

The previous prime is 50022367. The next prime is 50022443. The reversal of 50022400 is 422005.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 46457856 + 3564544 = 6816^2 + 1888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50712 + ... + 51688.

Almost surely, 2^50022400 is an apocalyptic number.

50022400 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 50022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62076105).

50022400 is an abundant number, since it is smaller than the sum of its proper divisors (74129810).

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

50022400 is an equidigital number, since it uses as much as digits as its factorization.

50022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 50022400 is about 7072.6515536961. The cubic root of 50022400 is about 368.4581565209.

Adding to 50022400 its reverse (422005), we get a palindrome (50444405).

The spelling of 50022400 in words is "fifty million, twenty-two thousand, four hundred".