507871296 has 105 divisors (see below), whose sum is σ = 1510314861. Its totient is φ = 168749568.

The previous prime is 507871289. The next prime is 507871297. The reversal of 507871296 is 692178705.

The square root of 507871296 is 22536.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3240000 + 504631296 = 1800^2 + 22464^2 .

It is not an unprimeable number, because it can be changed into a prime (507871297) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1622436 + ... + 1622748.

Almost surely, 2^507871296 is an apocalyptic number.

507871296 is the 22536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507871296

507871296 is an abundant number, since it is smaller than the sum of its proper divisors (1002443565).

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

507871296 is an frugal number, since it uses more digits than its factorization.

507871296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The cubic root of 507871296 is about 797.8438272029.

The spelling of 507871296 in words is "five hundred seven million, eight hundred seventy-one thousand, two hundred ninety-six".