505363040460 has 144 divisors (see below), whose sum is σ = 1601496973440. Its totient is φ = 128828044800.

The previous prime is 505363040447. The next prime is 505363040477. The reversal of 505363040460 is 64040363505.

505363040460 is a `hidden beast` number, since 50 + 53 + 63 + 0 + 40 + 460 = 666.

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

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, 47949 + ... + 1006491.

It is an arithmetic number, because the mean of its divisors is an integer number (11121506760).

Almost surely, 2^505363040460 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 505363040460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800748486720).

505363040460 is an abundant number, since it is smaller than the sum of its proper divisors (1096133932980).

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

505363040460 is a wasteful number, since it uses less digits than its factorization.

505363040460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958688 (or 958683 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 505363040460 in words is "five hundred five billion, three hundred sixty-three million, forty thousand, four hundred sixty".