505180800 has 240 divisors, whose sum is σ = 1865184750. Its totient is φ = 134645760.

The previous prime is 505180799. The next prime is 505180807. The reversal of 505180800 is 8081505.

505180800 is a `hidden beast` number, since 505 + 1 + 80 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 438986304 + 66194496 = 20952^2 + 8136^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 (505180807) 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, 258226 + ... + 260174.

Almost surely, 2^505180800 is an apocalyptic number.

505180800 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 505180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932592375).

505180800 is an abundant number, since it is smaller than the sum of its proper divisors (1360003950).

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

505180800 is a wasteful number, since it uses less digits than its factorization.

505180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 505180800 is about 22476.2274414547. The cubic root of 505180800 is about 796.4324476954.

The spelling of 505180800 in words is "five hundred five million, one hundred eighty thousand, eight hundred".