507368 has 8 divisors (see below), whose sum is σ = 951330. Its totient is φ = 253680.

The previous prime is 507361. The next prime is 507371. The reversal of 507368 is 863705.

It can be written as a sum of positive squares in only one way, i.e., 487204 + 20164 = 698^2 + 142^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a self number, because there is not a number n which added to its sum of digits gives 507368.

It is not an unprimeable number, because it can be changed into a prime (507361) by changing a digit.

507368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 31703 + ... + 31718.

2⁵⁰⁷³⁶⁸ is an apocalyptic number.

It is an amenable number.

507368 is a deficient number, since it is larger than the sum of its proper divisors (443962).

507368 is a wasteful number, since it uses less digits than its factorization.

507368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63427 (or 63423 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 507368 is about 712.2976905761. The cubic root of 507368 is about 79.7580188017.

The spelling of 507368 in words is "five hundred seven thousand, three hundred sixty-eight".