505505280 has 160 divisors (see below), whose sum is σ = 1847096064. Its totient is φ = 115531776.

The previous prime is 505505269. The next prime is 505505281. The reversal of 505505280 is 82505505.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505505281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49059 + ... + 58461.

Almost surely, 2^505505280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923548032).

505505280 is an abundant number, since it is smaller than the sum of its proper divisors (1341590784).

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

505505280 is an equidigital number, since it uses as much as digits as its factorization.

505505280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9436 (or 9420 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The square root of 505505280 is about 22483.4445759541. Note that the first 3 decimals coincide. The cubic root of 505505280 is about 796.6029286340.

The spelling of 505505280 in words is "five hundred five million, five hundred five thousand, two hundred eighty".