505305432 has 64 divisors (see below), whose sum is σ = 1405500000. Its totient is φ = 168210432.

The previous prime is 505305407. The next prime is 505305439. The reversal of 505305432 is 234503505.

505305432 is a `hidden beast` number, since 50 + 530 + 54 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 505305396 and 505305405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505305439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268848 + ... + 270720.

Almost surely, 2^505305432 is an apocalyptic number.

It is an amenable number.

505305432 is an abundant number, since it is smaller than the sum of its proper divisors (900194568).

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

505305432 is a wasteful number, since it uses less digits than its factorization.

505305432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 505305432 is about 22478.9997998132. Note that the first 3 decimals coincide. The cubic root of 505305432 is about 796.4979376527.

Adding to 505305432 its reverse (234503505), we get a palindrome (739808937).

The spelling of 505305432 in words is "five hundred five million, three hundred five thousand, four hundred thirty-two".