350528850 has 192 divisors, whose sum is σ = 1127904000. Its totient is φ = 80015040.

The previous prime is 350528807. The next prime is 350528851. The reversal of 350528850 is 58825053.

350528850 is a `hidden beast` number, since 3 + 50 + 528 + 85 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (350528851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 462672 + ... + 463428.

It is an arithmetic number, because the mean of its divisors is an integer number (5874500).

Almost surely, 2^350528850 is an apocalyptic number.

350528850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 350528850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563952000).

350528850 is an abundant number, since it is smaller than the sum of its proper divisors (777375150).

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

350528850 is a wasteful number, since it uses less digits than its factorization.

350528850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 350528850 is about 18722.4157095178. The cubic root of 350528850 is about 705.0846435266.

The spelling of 350528850 in words is "three hundred fifty million, five hundred twenty-eight thousand, eight hundred fifty".