353850 has 48 divisors (see below), whose sum is σ = 1005888. Its totient is φ = 80640.

The previous prime is 353833. The next prime is 353867. The reversal of 353850 is 58353.

It is an interprime number because it is at equal distance from previous prime (353833) and next prime (353867).

It is a self number, because there is not a number n which added to its sum of digits gives 353850.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 353850.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 882 + ... + 1218.

It is an arithmetic number, because the mean of its divisors is an integer number (20956).

2³⁵³⁸⁵⁰ is an apocalyptic number.

353850 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 353850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502944).

353850 is an abundant number, since it is smaller than the sum of its proper divisors (652038).

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

353850 is a wasteful number, since it uses less digits than its factorization.

353850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 353850 is about 594.8529229986. The cubic root of 353850 is about 70.7304465520.

The spelling of 353850 in words is "three hundred fifty-three thousand, eight hundred fifty".