506232000 has 336 divisors, whose sum is σ = 1854403200. Its totient is φ = 131788800.

The previous prime is 506231993. The next prime is 506232011. The reversal of 506232000 is 232605.

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 47 ways as a sum of consecutive naturals, for example, 5687956 + ... + 5688044.

Almost surely, 2^506232000 is an apocalyptic number.

506232000 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 506232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927201600).

506232000 is an abundant number, since it is smaller than the sum of its proper divisors (1348171200).

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

506232000 is a wasteful number, since it uses less digits than its factorization.

506232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 506232000 is about 22499.5999964444. The cubic root of 506232000 is about 796.9844809211.

Adding to 506232000 its reverse (232605), we get a palindrome (506464605).

The spelling of 506232000 in words is "five hundred six million, two hundred thirty-two thousand".