506286350 has 192 divisors, whose sum is σ = 1157068800. Its totient is φ = 163215360.

The previous prime is 506286323. The next prime is 506286457. The reversal of 506286350 is 53682605.

It is a self number, because there is not a number n which added to its sum of digits gives 506286350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10772027 + ... + 10772073.

It is an arithmetic number, because the mean of its divisors is an integer number (6026400).

Almost surely, 2^506286350 is an apocalyptic number.

506286350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

506286350 is an abundant number, since it is smaller than the sum of its proper divisors (650782450).

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

506286350 is a wasteful number, since it uses less digits than its factorization.

506286350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 506286350 is about 22500.8077632782. The cubic root of 506286350 is about 797.0130018077.

The spelling of 506286350 in words is "five hundred six million, two hundred eighty-six thousand, three hundred fifty".