506415816 has 96 divisors (see below), whose sum is σ = 1477476000. Its totient is φ = 156183552.

The previous prime is 506415809. The next prime is 506415823. The reversal of 506415816 is 618514605.

506415816 is a `hidden beast` number, since 5 + 0 + 641 + 5 + 8 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (506415809) and next prime (506415823).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54520 + ... + 63128.

It is an arithmetic number, because the mean of its divisors is an integer number (15390375).

Almost surely, 2^506415816 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 506415816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738738000).

506415816 is an abundant number, since it is smaller than the sum of its proper divisors (971060184).

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

506415816 is a wasteful number, since it uses less digits than its factorization.

506415816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8683 (or 8676 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 506415816 is about 22503.6844983216. The cubic root of 506415816 is about 797.0809325950.

The spelling of 506415816 in words is "five hundred six million, four hundred fifteen thousand, eight hundred sixteen".