50090400 has 180 divisors, whose sum is σ = 182906262. Its totient is φ = 13340160.

The previous prime is 50090393. The next prime is 50090413. The reversal of 50090400 is 409005.

It can be written as a sum of positive squares in 3 ways, for example, as 24324624 + 25765776 = 4932^2 + 5076^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64414 + ... + 65186.

Almost surely, 2^50090400 is an apocalyptic number.

50090400 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 50090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91453131).

50090400 is an abundant number, since it is smaller than the sum of its proper divisors (132815862).

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

50090400 is a wasteful number, since it uses less digits than its factorization.

50090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 50090400 is about 7077.4571704815. The cubic root of 50090400 is about 368.6250404900.

Adding to 50090400 its reverse (409005), we get a palindrome (50499405).

The spelling of 50090400 in words is "fifty million, ninety thousand, four hundred".