505286460 has 144 divisors (see below), whose sum is σ = 1794566592. Its totient is φ = 112665600.

The previous prime is 505286447. The next prime is 505286521. The reversal of 505286460 is 64682505.

505286460 is a `hidden beast` number, since 5 + 0 + 5 + 2 + 8 + 646 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46770 + ... + 56550.

It is an arithmetic number, because the mean of its divisors is an integer number (12462268).

Almost surely, 2^505286460 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 505286460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897283296).

505286460 is an abundant number, since it is smaller than the sum of its proper divisors (1289280132).

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

505286460 is a wasteful number, since it uses less digits than its factorization.

505286460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9844 (or 9839 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 505286460 is about 22478.5778019874. The cubic root of 505286460 is about 796.4879691947.

The spelling of 505286460 in words is "five hundred five million, two hundred eighty-six thousand, four hundred sixty".