353250 has 48 divisors (see below), whose sum is σ = 961272. Its totient is φ = 93600.

The previous prime is 353237. The next prime is 353263. The reversal of 353250 is 52353.

It is an interprime number because it is at equal distance from previous prime (353237) and next prime (353263).

It can be written as a sum of positive squares in 4 ways, for example, as 71289 + 281961 = 267^2 + 531^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 353250.

It is an unprimeable number.

353250 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2172 + ... + 2328.

2³⁵³²⁵⁰ is an apocalyptic number.

353250 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 353250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480636).

353250 is an abundant number, since it is smaller than the sum of its proper divisors (608022).

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

353250 is a wasteful number, since it uses less digits than its factorization.

353250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 353250 is about 594.3483826848. The cubic root of 353250 is about 70.6904462909.

The spelling of 353250 in words is "three hundred fifty-three thousand, two hundred fifty".