505620432 has 60 divisors (see below), whose sum is σ = 1416682020. Its totient is φ = 168344064.

The previous prime is 505620403. The next prime is 505620439. The reversal of 505620432 is 234026505.

505620432 is a `hidden beast` number, since 5 + 0 + 5 + 620 + 4 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 442513296 + 63107136 = 21036^2 + 7944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 505620396 and 505620405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505620439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175548 + ... + 178404.

It is an arithmetic number, because the mean of its divisors is an integer number (23611367).

Almost surely, 2^505620432 is an apocalyptic number.

It is an amenable number.

505620432 is an abundant number, since it is smaller than the sum of its proper divisors (911061588).

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

505620432 is a wasteful number, since it uses less digits than its factorization.

505620432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 505620432 is about 22486.0052477091. The cubic root of 505620432 is about 796.6634116528.

Adding to 505620432 its reverse (234026505), we get a palindrome (739646937).

The spelling of 505620432 in words is "five hundred five million, six hundred twenty thousand, four hundred thirty-two".