506142000 has 640 divisors, whose sum is σ = 2253189120. Its totient is φ = 105753600.

The previous prime is 506141957. The next prime is 506142047. The reversal of 506142000 is 241605.

It is a happy number.

506142000 is a `hidden beast` number, since 50 + 614 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4913949 + ... + 4914051.

It is an arithmetic number, because the mean of its divisors is an integer number (3520608).

Almost surely, 2^506142000 is an apocalyptic number.

506142000 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 506142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126594560).

506142000 is an abundant number, since it is smaller than the sum of its proper divisors (1747047120).

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

506142000 is a wasteful number, since it uses less digits than its factorization.

506142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 506142000 is about 22497.5998719863. The cubic root of 506142000 is about 796.9372477326.

Adding to 506142000 its reverse (241605), we get a palindrome (506383605).

The spelling of 506142000 in words is "five hundred six million, one hundred forty-two thousand".