506557296 has 360 divisors, whose sum is σ = 1806071904. Its totient is φ = 131604480.

The previous prime is 506557253. The next prime is 506557307. The reversal of 506557296 is 692755605.

506557296 is a `hidden beast` number, since 5 + 0 + 6 + 557 + 2 + 96 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4917981 + ... + 4918083.

Almost surely, 2^506557296 is an apocalyptic number.

506557296 is a gapful number since it is divisible by the number (56) 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 506557296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903035952).

506557296 is an abundant number, since it is smaller than the sum of its proper divisors (1299514608).

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

506557296 is a wasteful number, since it uses less digits than its factorization.

506557296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 506557296 is about 22506.8277640364. The cubic root of 506557296 is about 797.1551538881.

The spelling of 506557296 in words is "five hundred six million, five hundred fifty-seven thousand, two hundred ninety-six".