505802240 has 160 divisors (see below), whose sum is σ = 1278668160. Its totient is φ = 191692800.

The previous prime is 505802233. The next prime is 505802263. The reversal of 505802240 is 42208505.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6402521 + ... + 6402599.

It is an arithmetic number, because the mean of its divisors is an integer number (7991676).

Almost surely, 2^505802240 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 505802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639334080).

505802240 is an abundant number, since it is smaller than the sum of its proper divisors (772865920).

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

505802240 is an equidigital number, since it uses as much as digits as its factorization.

505802240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 505802240 is about 22490.0475766504. The cubic root of 505802240 is about 796.7588867138.

The spelling of 505802240 in words is "five hundred five million, eight hundred two thousand, two hundred forty".