50990400 has 126 divisors (see below), whose sum is σ = 181283102. Its totient is φ = 13593600.

The previous prime is 50990393. The next prime is 50990413. The reversal of 50990400 is 409905.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2214144 + 48776256 = 1488^2 + 6984^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12630 + ... + 16170.

Almost surely, 2^50990400 is an apocalyptic number.

50990400 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 50990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90641551).

50990400 is an abundant number, since it is smaller than the sum of its proper divisors (130292702).

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

50990400 is a wasteful number, since it uses less digits than its factorization.

50990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 50990400 is about 7140.7562624697. The cubic root of 50990400 is about 370.8197068875.

It can be divided in two parts, 509 and 90400, that added together give a palindrome (90909).

The spelling of 50990400 in words is "fifty million, nine hundred ninety thousand, four hundred".