507978 has 32 divisors (see below), whose sum is σ = 1180800. Its totient is φ = 161568.

The previous prime is 507971. The next prime is 507979. The reversal of 507978 is 879705.

507978 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (507971) 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, 1038 + ... + 1446.

It is an arithmetic number, because the mean of its divisors is an integer number (36900).

2⁵⁰⁷⁹⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590400).

507978 is an abundant number, since it is smaller than the sum of its proper divisors (672822).

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

507978 is a wasteful number, since it uses less digits than its factorization.

507978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 507978 is about 712.7257537090. The cubic root of 507978 is about 79.7899699079.

It can be divided in two parts, 50797 and 8, that added together give a palindrome (50805).

The spelling of 507978 in words is "five hundred seven thousand, nine hundred seventy-eight".