506864920 has 64 divisors (see below), whose sum is σ = 1169510400. Its totient is φ = 197616000.

The previous prime is 506864903. The next prime is 506864977. The reversal of 506864920 is 29468605.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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, 674545 + ... + 675295.

It is an arithmetic number, because the mean of its divisors is an integer number (18273600).

Almost surely, 2^506864920 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 506864920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584755200).

506864920 is an abundant number, since it is smaller than the sum of its proper divisors (662645480).

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

506864920 is a wasteful number, since it uses less digits than its factorization.

506864920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 506864920 is about 22513.6607418696. The cubic root of 506864920 is about 797.3164876836.

The spelling of 506864920 in words is "five hundred six million, eight hundred sixty-four thousand, nine hundred twenty".