506479536 has 60 divisors (see below), whose sum is σ = 1428312600. Its totient is φ = 167531520.

The previous prime is 506479469. The next prime is 506479553. The reversal of 506479536 is 635974605.

506479536 is a `hidden beast` number, since 50 + 64 + 7 + 9 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 506479491 and 506479500.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5440 + ... + 32288.

It is an arithmetic number, because the mean of its divisors is an integer number (23805210).

Almost surely, 2^506479536 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 506479536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714156300).

506479536 is an abundant number, since it is smaller than the sum of its proper divisors (921833064).

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

506479536 is a wasteful number, since it uses less digits than its factorization.

506479536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26994 (or 26985 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 506479536 is about 22505.1002219497. The cubic root of 506479536 is about 797.1143622164.

The spelling of 506479536 in words is "five hundred six million, four hundred seventy-nine thousand, five hundred thirty-six".