505080000 has 420 divisors, whose sum is σ = 1918673328. Its totient is φ = 126720000.

The previous prime is 505079989. The next prime is 505080071. The reversal of 505080000 is 80505.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 59 ways as a sum of consecutive naturals, for example, 8279970 + ... + 8280030.

Almost surely, 2^505080000 is an apocalyptic number.

505080000 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 505080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959336664).

505080000 is an abundant number, since it is smaller than the sum of its proper divisors (1413593328).

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

505080000 is a wasteful number, since it uses less digits than its factorization.

505080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 505080000 is about 22473.9849603937. The cubic root of 505080000 is about 796.3794727797.

The spelling of 505080000 in words is "five hundred five million, eighty thousand".