506270440 has 32 divisors (see below), whose sum is σ = 1226733480. Its totient is φ = 186930432.

The previous prime is 506270437. The next prime is 506270449. The reversal of 506270440 is 44072605.

It can be written as a sum of positive squares in 4 ways, for example, as 438734916 + 67535524 = 20946^2 + 8218^2 .

It is a junction number, because it is equal to n+sod(n) for n = 506270399 and 506270408.

It is not an unprimeable number, because it can be changed into a prime (506270449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 486279 + ... + 487318.

Almost surely, 2^506270440 is an apocalyptic number.

It is an amenable number.

506270440 is an abundant number, since it is smaller than the sum of its proper divisors (720463040).

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

506270440 is a wasteful number, since it uses less digits than its factorization.

506270440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973621 (or 973617 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 506270440 is about 22500.4542176375. The cubic root of 506270440 is about 797.0046530345.

The spelling of 506270440 in words is "five hundred six million, two hundred seventy thousand, four hundred forty".