507387712 has 112 divisors (see below), whose sum is σ = 1188628560. Its totient is φ = 212631552.

The previous prime is 507387703. The next prime is 507387719. The reversal of 507387712 is 217783705.

It can be written as a sum of positive squares in 8 ways, for example, as 4910656 + 502477056 = 2216^2 + 22416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507387719) 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, 409558 + ... + 410794.

It is an arithmetic number, because the mean of its divisors is an integer number (10612755).

Almost surely, 2^507387712 is an apocalyptic number.

507387712 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507387712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594314280).

507387712 is an abundant number, since it is smaller than the sum of its proper divisors (681240848).

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

507387712 is a wasteful number, since it uses less digits than its factorization.

507387712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 40.

The square root of 507387712 is about 22525.2683002889. The cubic root of 507387712 is about 797.5905169416.

The spelling of 507387712 in words is "five hundred seven million, three hundred eighty-seven thousand, seven hundred twelve".