50986400 has 144 divisors (see below), whose sum is σ = 138366144. Its totient is φ = 18247680.

The previous prime is 50986393. The next prime is 50986471. The reversal of 50986400 is 468905.

50986400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×50986400² = 5199225969920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 23 ways as a sum of consecutive naturals, for example, 312719 + ... + 312881.

It is an arithmetic number, because the mean of its divisors is an integer number (960876).

Almost surely, 2^50986400 is an apocalyptic number.

50986400 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 50986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69183072).

50986400 is an abundant number, since it is smaller than the sum of its proper divisors (87379744).

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

50986400 is a wasteful number, since it uses less digits than its factorization.

50986400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 50986400 is about 7140.4761745979. The cubic root of 50986400 is about 370.8100101759.

The spelling of 50986400 in words is "fifty million, nine hundred eighty-six thousand, four hundred".