506342000 has 80 divisors (see below), whose sum is σ = 1229311200. Its totient is φ = 201715200.

The previous prime is 506341939. The next prime is 506342009. The reversal of 506342000 is 243605.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506342009) 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, 817691 + ... + 818309.

It is an arithmetic number, because the mean of its divisors is an integer number (15366390).

Almost surely, 2^506342000 is an apocalyptic number.

506342000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614655600).

506342000 is an abundant number, since it is smaller than the sum of its proper divisors (722969200).

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

506342000 is a wasteful number, since it uses less digits than its factorization.

506342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 506342000 is about 22502.0443515695. The cubic root of 506342000 is about 797.0422027718.

Adding to 506342000 its reverse (243605), we get a palindrome (506585605).

The spelling of 506342000 in words is "five hundred six million, three hundred forty-two thousand".