50098400 has 72 divisors (see below), whose sum is σ = 133444584. Its totient is φ = 18214400.

The previous prime is 50098369. The next prime is 50098429. The reversal of 50098400 is 489005.

50098400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 50098400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5954 + ... + 11646.

It is an arithmetic number, because the mean of its divisors is an integer number (1853397).

Almost surely, 2^50098400 is an apocalyptic number.

50098400 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 50098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66722292).

50098400 is an abundant number, since it is smaller than the sum of its proper divisors (83346184).

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

50098400 is a wasteful number, since it uses less digits than its factorization.

50098400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5724 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 50098400 is about 7078.0223226548. The cubic root of 50098400 is about 368.6446639663.

The spelling of 50098400 in words is "fifty million, ninety-eight thousand, four hundred".