506967340 has 96 divisors (see below), whose sum is σ = 1213547328. Its totient is φ = 176256000.

The previous prime is 506967323. The next prime is 506967341. The reversal of 506967340 is 43769605.

It is a junction number, because it is equal to n+sod(n) for n = 506967293 and 506967302.

It is not an unprimeable number, because it can be changed into a prime (506967341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496030 + ... + 497050.

It is an arithmetic number, because the mean of its divisors is an integer number (12641118).

Almost surely, 2^506967340 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 506967340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606773664).

506967340 is an abundant number, since it is smaller than the sum of its proper divisors (706579988).

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

506967340 is a wasteful number, since it uses less digits than its factorization.

506967340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 506967340 is about 22515.9352459541. The cubic root of 506967340 is about 797.3701874971.

The spelling of 506967340 in words is "five hundred six million, nine hundred sixty-seven thousand, three hundred forty".