506340016 has 80 divisors (see below), whose sum is σ = 1227435328. Its totient is φ = 196992000.

The previous prime is 506339959. The next prime is 506340017. The reversal of 506340016 is 610043605.

It is a super-3 number, since 3×506340016³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (506340017) 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, 85966 + ... + 91666.

Almost surely, 2^506340016 is an apocalyptic number.

506340016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506340016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613717664).

506340016 is an abundant number, since it is smaller than the sum of its proper divisors (721095312).

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

506340016 is a wasteful number, since it uses less digits than its factorization.

506340016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790 (or 5784 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 506340016 is about 22502.0002666430. Note that the first 3 decimals coincide. The cubic root of 506340016 is about 797.0411617535.

The spelling of 506340016 in words is "five hundred six million, three hundred forty thousand, sixteen".