505431360 has 448 divisors, whose sum is σ = 2086295040. Its totient is φ = 112803840.

The previous prime is 505431349. The next prime is 505431361. The reversal of 505431360 is 63134505.

505431360 is a `hidden beast` number, since 50 + 543 + 13 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505431361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3689212 + ... + 3689348.

Almost surely, 2^505431360 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 505431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043147520).

505431360 is an abundant number, since it is smaller than the sum of its proper divisors (1580863680).

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

505431360 is a wasteful number, since it uses less digits than its factorization.

505431360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 505431360 is about 22481.8006396285. The cubic root of 505431360 is about 796.5640976786.

Adding to 505431360 its reverse (63134505), we get a palindrome (568565865).

The spelling of 505431360 in words is "five hundred five million, four hundred thirty-one thousand, three hundred sixty".