505406320452 has 144 divisors (see below), whose sum is σ = 1523281503744. Its totient is φ = 139494528000.

The previous prime is 505406320451. The next prime is 505406320457. The reversal of 505406320452 is 254023604505.

505406320452 is a `hidden beast` number, since 5 + 0 + 540 + 63 + 2 + 0 + 4 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (505406320451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1002199 + ... + 1419582.

It is an arithmetic number, because the mean of its divisors is an integer number (10578343776).

Almost surely, 2^505406320452 is an apocalyptic number.

It is an amenable number.

505406320452 is an abundant number, since it is smaller than the sum of its proper divisors (1017875183292).

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

505406320452 is a wasteful number, since it uses less digits than its factorization.

505406320452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421850 (or 2421845 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 505406320452 its reverse (254023604505), we get a palindrome (759429924957).

The spelling of 505406320452 in words is "five hundred five billion, four hundred six million, three hundred twenty thousand, four hundred fifty-two".