50284800 has 270 divisors, whose sum is σ = 187842578. Its totient is φ = 13271040.

The previous prime is 50284789. The next prime is 50284807. The reversal of 50284800 is 848205.

50284800 is a `hidden beast` number, since 502 + 84 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2509056 + 47775744 = 1584^2 + 6912^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a super-2 number, since 2×50284800² = 5057122222080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (50284807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 518352 + ... + 518448.

Almost surely, 2^50284800 is an apocalyptic number.

50284800 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 50284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93921289).

50284800 is an abundant number, since it is smaller than the sum of its proper divisors (137557778).

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

50284800 is an equidigital number, since it uses as much as digits as its factorization.

50284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 50284800 is about 7091.1776172932. The cubic root of 50284800 is about 369.1013007618.

The spelling of 50284800 in words is "fifty million, two hundred eighty-four thousand, eight hundred".