354944 has 32 divisors (see below), whose sum is σ = 734400. Its totient is φ = 170752.

The previous prime is 354911. The next prime is 354953. The reversal of 354944 is 449453.

It is a tau number, because it is divible by the number of its divisors (32).

Its product of digits (8640) is a multiple of the sum of its prime divisors (108).

It is a zygodrome in base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 354944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5987 + ... + 6045.

It is an arithmetic number, because the mean of its divisors is an integer number (22950).

2³⁵⁴⁹⁴⁴ 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 354944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367200).

354944 is an abundant number, since it is smaller than the sum of its proper divisors (379456).

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

354944 is an equidigital number, since it uses as much as digits as its factorization.

354944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 354944 is about 595.7717683811. The cubic root of 354944 is about 70.8032641307.

The spelling of 354944 in words is "three hundred fifty-four thousand, nine hundred forty-four".