506462368 has 48 divisors (see below), whose sum is σ = 1059877224. Its totient is φ = 237404160.

The previous prime is 506462357. The next prime is 506462371. The reversal of 506462368 is 863264605.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 464316304 + 42146064 = 21548^2 + 6492^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 506462368.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149008 + ... + 152368.

Almost surely, 2^506462368 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 506462368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529938612).

506462368 is an abundant number, since it is smaller than the sum of its proper divisors (553414856).

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

506462368 is a wasteful number, since it uses less digits than its factorization.

506462368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3665 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 506462368 is about 22504.7187940663. The cubic root of 506462368 is about 797.1053555912.

The spelling of 506462368 in words is "five hundred six million, four hundred sixty-two thousand, three hundred sixty-eight".