50802400 has 144 divisors (see below), whose sum is σ = 141740928. Its totient is φ = 17600000.

The previous prime is 50802361. The next prime is 50802407. The reversal of 50802400 is 420805.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50802407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202275 + ... + 202525.

It is an arithmetic number, because the mean of its divisors is an integer number (984312).

Almost surely, 2^50802400 is an apocalyptic number.

50802400 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 50802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70870464).

50802400 is an abundant number, since it is smaller than the sum of its proper divisors (90938528).

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

50802400 is a wasteful number, since it uses less digits than its factorization.

50802400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 50802400 is about 7127.5802345537. The cubic root of 50802400 is about 370.3634121162.

The spelling of 50802400 in words is "fifty million, eight hundred two thousand, four hundred".