506085040 has 20 divisors (see below), whose sum is σ = 1176647904. Its totient is φ = 202433984.

The previous prime is 506085037. The next prime is 506085071. The reversal of 506085040 is 40580605.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×506085040² = 512244135423603200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3162952 + ... + 3163111.

Almost surely, 2^506085040 is an apocalyptic number.

It is an amenable number.

506085040 is an abundant number, since it is smaller than the sum of its proper divisors (670562864).

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

506085040 is a wasteful number, since it uses less digits than its factorization.

506085040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6326076 (or 6326070 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 506085040 is about 22496.3339235530. Note that the first 3 decimals coincide. The cubic root of 506085040 is about 796.9073514791.

It can be divided in two parts, 5060 and 85040, that added together give a triangular number (90100 = T₄₂₄).

The spelling of 506085040 in words is "five hundred six million, eighty-five thousand, forty".