506443386240 has 768 divisors, whose sum is σ = 1955236008960. Its totient is φ = 119760076800.

The previous prime is 506443386227. The next prime is 506443386269. The reversal of 506443386240 is 42683344605.

506443386240 is a `hidden beast` number, since 506 + 4 + 43 + 3 + 8 + 62 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 463351134 + ... + 463352226.

It is an arithmetic number, because the mean of its divisors is an integer number (2545880220).

Almost surely, 2^506443386240 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 506443386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977618004480).

506443386240 is an abundant number, since it is smaller than the sum of its proper divisors (1448792622720).

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

506443386240 is a wasteful number, since it uses less digits than its factorization.

506443386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 506443386240 in words is "five hundred six billion, four hundred forty-three million, three hundred eighty-six thousand, two hundred forty".