354120 has 64 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 86784.

The previous prime is 354097. The next prime is 354121. The reversal of 354120 is 21453.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 354120.

It is not an unprimeable number, because it can be changed into a prime (354121) by changing a digit.

354120 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, 1447 + ... + 1673.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2³⁵⁴¹²⁰ is an apocalyptic number.

354120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

354120 is an abundant number, since it is smaller than the sum of its proper divisors (795000).

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

354120 is a wasteful number, since it uses less digits than its factorization.

354120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 354120 is about 595.0798265779. The cubic root of 354120 is about 70.7484319180.

Adding to 354120 its reverse (21453), we get a palindrome (375573).

It can be divided in two parts, 354 and 120, that added together give a palindrome (474).

The spelling of 354120 in words is "three hundred fifty-four thousand, one hundred twenty".