353052 has 48 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 100656.

The previous prime is 353047. The next prime is 353053. The reversal of 353052 is 250353.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353053) by changing a digit.

353052 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 15 ways as a sum of consecutive naturals, for example, 523 + ... + 989.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2³⁵³⁰⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524160).

353052 is an abundant number, since it is smaller than the sum of its proper divisors (695268).

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

353052 is a wasteful number, since it uses less digits than its factorization.

353052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 479 counting only the distinct ones).

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

The square root of 353052 is about 594.1817903639. The cubic root of 353052 is about 70.6772362656.

The spelling of 353052 in words is "three hundred fifty-three thousand, fifty-two".