354909168 has 80 divisors (see below), whose sum is σ = 1022672640. Its totient is φ = 117844416.

The previous prime is 354909167. The next prime is 354909169. The reversal of 354909168 is 861909453.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (354909167) and next prime (354909169).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354909167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120805 + ... + 123707.

It is an arithmetic number, because the mean of its divisors is an integer number (12783408).

Almost surely, 2^354909168 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 354909168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511336320).

354909168 is an abundant number, since it is smaller than the sum of its proper divisors (667763472).

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

354909168 is a wasteful number, since it uses less digits than its factorization.

354909168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 354909168 is about 18839.0330962075. The cubic root of 354909168 is about 708.0094799075.

The spelling of 354909168 in words is "three hundred fifty-four million, nine hundred nine thousand, one hundred sixty-eight".