506773740 has 288 divisors, whose sum is σ = 1729631232. Its totient is φ = 109516800.

The previous prime is 506773739. The next prime is 506773747. The reversal of 506773740 is 47377605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506773747) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10782397 + ... + 10782443.

It is an arithmetic number, because the mean of its divisors is an integer number (6005664).

Almost surely, 2^506773740 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 506773740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864815616).

506773740 is an abundant number, since it is smaller than the sum of its proper divisors (1222857492).

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

506773740 is a wasteful number, since it uses less digits than its factorization.

506773740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 39.

The square root of 506773740 is about 22511.6356580325. The cubic root of 506773740 is about 797.2686750257.

The spelling of 506773740 in words is "five hundred six million, seven hundred seventy-three thousand, seven hundred forty".