506152608 has 96 divisors (see below), whose sum is σ = 1435698432. Its totient is φ = 155212800.

The previous prime is 506152607. The next prime is 506152627. The reversal of 506152608 is 806251605.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×506152608³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (506152607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537418 + ... + 538358.

It is an arithmetic number, because the mean of its divisors is an integer number (14955192).

Almost surely, 2^506152608 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 506152608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717849216).

506152608 is an abundant number, since it is smaller than the sum of its proper divisors (929545824).

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

506152608 is a wasteful number, since it uses less digits than its factorization.

506152608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 506152608 is about 22497.8356292333. The cubic root of 506152608 is about 796.9428152421.

The spelling of 506152608 in words is "five hundred six million, one hundred fifty-two thousand, six hundred eight".