506499000 has 256 divisors, whose sum is σ = 1833062400. Its totient is φ = 114048000.

The previous prime is 506498999. The next prime is 506499053. The reversal of 506499000 is 994605.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1868865 + ... + 1869135.

It is an arithmetic number, because the mean of its divisors is an integer number (7160400).

Almost surely, 2^506499000 is an apocalyptic number.

506499000 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 506499000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916531200).

506499000 is an abundant number, since it is smaller than the sum of its proper divisors (1326563400).

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

506499000 is a wasteful number, since it uses less digits than its factorization.

506499000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 506499000 is about 22505.5326531055. The cubic root of 506499000 is about 797.1245731161.

The spelling of 506499000 in words is "five hundred six million, four hundred ninety-nine thousand".