354000 has 80 divisors (see below), whose sum is σ = 1160640. Its totient is φ = 92800.

The previous prime is 353963. The next prime is 354001. The reversal of 354000 is 453.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354001) by changing a digit.

354000 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, 5971 + ... + 6029.

It is an arithmetic number, because the mean of its divisors is an integer number (14508).

2³⁵⁴⁰⁰⁰ is an apocalyptic number.

354000 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 354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580320).

354000 is an abundant number, since it is smaller than the sum of its proper divisors (806640).

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

354000 is a wasteful number, since it uses less digits than its factorization.

354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 354000 is about 594.9789912257. The cubic root of 354000 is about 70.7404395511.

Adding to 354000 its reverse (453), we get a palindrome (354453).

The spelling of 354000 in words is "three hundred fifty-four thousand".