506258368 has 112 divisors (see below), whose sum is σ = 1326392064. Its totient is φ = 185610240.

The previous prime is 506258341. The next prime is 506258369. The reversal of 506258368 is 863852605.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506258369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80755 + ... + 86797.

Almost surely, 2^506258368 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 506258368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663196032).

506258368 is an abundant number, since it is smaller than the sum of its proper divisors (820133696).

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

506258368 is a wasteful number, since it uses less digits than its factorization.

506258368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6090 (or 6080 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The square root of 506258368 is about 22500.1859547871. The cubic root of 506258368 is about 796.9983181353.

The spelling of 506258368 in words is "five hundred six million, two hundred fifty-eight thousand, three hundred sixty-eight".