506566410 has 128 divisors (see below), whose sum is σ = 1492992000. Its totient is φ = 109650240.

The previous prime is 506566397. The next prime is 506566433. The reversal of 506566410 is 14665605.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194215 + ... + 196805.

It is an arithmetic number, because the mean of its divisors is an integer number (11664000).

Almost surely, 2^506566410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506566410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746496000).

506566410 is an abundant number, since it is smaller than the sum of its proper divisors (986425590).

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

506566410 is a wasteful number, since it uses less digits than its factorization.

506566410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 506566410 is about 22507.0302350177. The cubic root of 506566410 is about 797.1599346757.

The spelling of 506566410 in words is "five hundred six million, five hundred sixty-six thousand, four hundred ten".