506424000 has 112 divisors (see below), whose sum is σ = 1672291296. Its totient is φ = 135040000.

The previous prime is 506423987. The next prime is 506424007. The reversal of 506424000 is 424605.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (506424007) 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, 13450 + ... + 34550.

Almost surely, 2^506424000 is an apocalyptic number.

506424000 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 506424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836145648).

506424000 is an abundant number, since it is smaller than the sum of its proper divisors (1165867296).

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

506424000 is a wasteful number, since it uses less digits than its factorization.

506424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21131 (or 21111 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 506424000 is about 22503.8663344768. The cubic root of 506424000 is about 797.0852263493.

Adding to 506424000 its reverse (424605), we get a palindrome (506848605).

The spelling of 506424000 in words is "five hundred six million, four hundred twenty-four thousand".