354960 has 120 divisors (see below), whose sum is σ = 1305720. Its totient is φ = 86016.

The previous prime is 354953. The next prime is 354961. The reversal of 354960 is 69453.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 76176 + 278784 = 276^2 + 528^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an Ulam number.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 145 × 17 × 144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12226 + ... + 12254.

It is an arithmetic number, because the mean of its divisors is an integer number (10881).

2³⁵⁴⁹⁶⁰ is an apocalyptic number.

354960 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 354960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652860).

354960 is an abundant number, since it is smaller than the sum of its proper divisors (950760).

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

354960 is a wasteful number, since it uses less digits than its factorization.

354960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 354960 is about 595.7851961907. The cubic root of 354960 is about 70.8043279936.

The spelling of 354960 in words is "three hundred fifty-four thousand, nine hundred sixty".