506400112 has 40 divisors (see below), whose sum is σ = 999936000. Its totient is φ = 248394432.

The previous prime is 506400071. The next prime is 506400113. The reversal of 506400112 is 211004605.

It is a super-2 number, since 2×506400112² = 512882146867225088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 506400112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506400113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209889 + ... + 212287.

It is an arithmetic number, because the mean of its divisors is an integer number (24998400).

Almost surely, 2^506400112 is an apocalyptic number.

It is an amenable number.

506400112 is a deficient number, since it is larger than the sum of its proper divisors (493535888).

506400112 is a wasteful number, since it uses less digits than its factorization.

506400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 506400112 is about 22503.3355749764. The cubic root of 506400112 is about 797.0726933260.

Adding to 506400112 its reverse (211004605), we get a palindrome (717404717).

The spelling of 506400112 in words is "five hundred six million, four hundred thousand, one hundred twelve".