353430 has 128 divisors (see below), whose sum is σ = 1244160. Its totient is φ = 69120.

The previous prime is 353429. The next prime is 353443. The reversal of 353430 is 34353.

353430 = 26² + 27² + ... + 102².

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20782 + ... + 20798.

It is an arithmetic number, because the mean of its divisors is an integer number (9720).

2³⁵³⁴³⁰ is an apocalyptic number.

353430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 594×595.

It is a practical number, because each smaller number is the sum of distinct divisors of 353430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622080).

353430 is an abundant number, since it is smaller than the sum of its proper divisors (890730).

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

353430 is a wasteful number, since it uses less digits than its factorization.

353430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 353430 is about 594.4997897392. The cubic root of 353430 is about 70.7024511220.

Adding to 353430 its reverse (34353), we get a palindrome (387783).

The spelling of 353430 in words is "three hundred fifty-three thousand, four hundred thirty".