506732760 has 192 divisors, whose sum is σ = 1755280800. Its totient is φ = 131383296.

The previous prime is 506732731. The next prime is 506732761. The reversal of 506732760 is 67237605.

It is a happy number.

506732760 is a `hidden beast` number, since 506 + 73 + 27 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506732761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358936 + ... + 360344.

Almost surely, 2^506732760 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 506732760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877640400).

506732760 is an abundant number, since it is smaller than the sum of its proper divisors (1248548040).

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

506732760 is a wasteful number, since it uses less digits than its factorization.

506732760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 506732760 is about 22510.7254436635. The cubic root of 506732760 is about 797.2471842048.

The spelling of 506732760 in words is "five hundred six million, seven hundred thirty-two thousand, seven hundred sixty".