506214432 has 72 divisors (see below), whose sum is σ = 1453089456. Its totient is φ = 167150976.

The previous prime is 506214403. The next prime is 506214437. The reversal of 506214432 is 234412605.

506214432 is a `hidden beast` number, since 5 + 0 + 621 + 4 + 4 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 506214396 and 506214405.

It is not an unprimeable number, because it can be changed into a prime (506214437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22603 + ... + 39029.

It is an arithmetic number, because the mean of its divisors is an integer number (20181798).

Almost surely, 2^506214432 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 506214432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726544728).

506214432 is an abundant number, since it is smaller than the sum of its proper divisors (946875024).

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

506214432 is a wasteful number, since it uses less digits than its factorization.

506214432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16550 (or 16539 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 506214432 is about 22499.2095861166. The cubic root of 506214432 is about 796.9752614424.

The spelling of 506214432 in words is "five hundred six million, two hundred fourteen thousand, four hundred thirty-two".