506164004 has 24 divisors (see below), whose sum is σ = 897787800. Its totient is φ = 249666560.

The previous prime is 506163989. The next prime is 506164019. The reversal of 506164004 is 400461605.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (506163989) and next prime (506164019).

It can be written as a sum of positive squares in 4 ways, for example, as 81721600 + 424442404 = 9040^2 + 20602^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184112 + ... + 186840.

It is an arithmetic number, because the mean of its divisors is an integer number (37407825).

Almost surely, 2^506164004 is an apocalyptic number.

It is an amenable number.

506164004 is a deficient number, since it is larger than the sum of its proper divisors (391623796).

506164004 is a wasteful number, since it uses less digits than its factorization.

506164004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 506164004 is about 22498.0888966152. The cubic root of 506164004 is about 796.9487962394.

The spelling of 506164004 in words is "five hundred six million, one hundred sixty-four thousand, four".