505652160 has 224 divisors, whose sum is σ = 1786079232. Its totient is φ = 120360960.

The previous prime is 505652159. The next prime is 505652167. The reversal of 505652160 is 61256505.

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 (505652167) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 386227 + ... + 387533.

It is an arithmetic number, because the mean of its divisors is an integer number (7973568).

Almost surely, 2^505652160 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 505652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893039616).

505652160 is an abundant number, since it is smaller than the sum of its proper divisors (1280427072).

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

505652160 is a wasteful number, since it uses less digits than its factorization.

505652160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 505652160 is about 22486.7107421250. The cubic root of 505652160 is about 796.6800750142.

It can be divided in two parts, 50565 and 2160, that added together give a palindrome (52725).

The spelling of 505652160 in words is "five hundred five million, six hundred fifty-two thousand, one hundred sixty".