507705632 has 48 divisors (see below), whose sum is σ = 1159421760. Its totient is φ = 214334208.

The previous prime is 507705617. The next prime is 507705637. The reversal of 507705632 is 236507705.

It is a junction number, because it is equal to n+sod(n) for n = 507705592 and 507705601.

It is not an unprimeable number, because it can be changed into a prime (507705637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1907 + ... + 31922.

It is an arithmetic number, because the mean of its divisors is an integer number (24154620).

Almost surely, 2^507705632 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 507705632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579710880).

507705632 is an abundant number, since it is smaller than the sum of its proper divisors (651716128).

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

507705632 is a wasteful number, since it uses less digits than its factorization.

507705632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33913 (or 33905 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 35.

The square root of 507705632 is about 22532.3241588612. The cubic root of 507705632 is about 797.7570674438.

The spelling of 507705632 in words is "five hundred seven million, seven hundred five thousand, six hundred thirty-two".