506295000 has 120 divisors (see below), whose sum is σ = 1713623340. Its totient is φ = 135000000.

The previous prime is 506294941. The next prime is 506295017. The reversal of 506295000 is 592605.

It is a Cunningham number, because it is equal to 22501²-1.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 39375 + ... + 50625.

Almost surely, 2^506295000 is an apocalyptic number.

506295000 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 506295000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856811670).

506295000 is an abundant number, since it is smaller than the sum of its proper divisors (1207328340).

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

506295000 is a wasteful number, since it uses less digits than its factorization.

506295000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11283 (or 11261 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 506295000 is about 22500.9999777788. Note that the first 4 decimals coincide. The cubic root of 506295000 is about 797.0175408222.

The spelling of 506295000 in words is "five hundred six million, two hundred ninety-five thousand".