506898432 has 192 divisors, whose sum is σ = 1533168000. Its totient is φ = 165445632.

The previous prime is 506898383. The next prime is 506898439. The reversal of 506898432 is 234898605.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (506898439) 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 15 ways as a sum of consecutive naturals, for example, 4921293 + ... + 4921395.

It is an arithmetic number, because the mean of its divisors is an integer number (7985250).

Almost surely, 2^506898432 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 506898432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766584000).

506898432 is an abundant number, since it is smaller than the sum of its proper divisors (1026269568).

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

506898432 is a wasteful number, since it uses less digits than its factorization.

506898432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 506898432 is about 22514.4049888066. The cubic root of 506898432 is about 797.3340591511.

The spelling of 506898432 in words is "five hundred six million, eight hundred ninety-eight thousand, four hundred thirty-two".