506837760 has 432 divisors, whose sum is σ = 1939085568. Its totient is φ = 111820800.

The previous prime is 506837743. The next prime is 506837783. The reversal of 506837760 is 67738605.

It is a Smith number, since the sum of its digits (42) 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 47 ways as a sum of consecutive naturals, for example, 7138525 + ... + 7138595.

It is an arithmetic number, because the mean of its divisors is an integer number (4488624).

Almost surely, 2^506837760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506837760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969542784).

506837760 is an abundant number, since it is smaller than the sum of its proper divisors (1432247808).

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

506837760 is a wasteful number, since it uses less digits than its factorization.

506837760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 506837760 is about 22513.0575444563. The cubic root of 506837760 is about 797.3022462150.

The spelling of 506837760 in words is "five hundred six million, eight hundred thirty-seven thousand, seven hundred sixty".