353298816 has 192 divisors, whose sum is σ = 1131661440. Its totient is φ = 105062400.

The previous prime is 353298809. The next prime is 353298821. The reversal of 353298816 is 618892353.

It is a happy number.

353298816 is a `hidden beast` number, since 353 + 298 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (311040) is a multiple of the sum of its prime divisors (810).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463876 + ... + 464636.

It is an arithmetic number, because the mean of its divisors is an integer number (5894070).

Almost surely, 2^353298816 is an apocalyptic number.

353298816 is a gapful number since it is divisible by the number (36) 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 353298816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565830720).

353298816 is an abundant number, since it is smaller than the sum of its proper divisors (778362624).

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

353298816 is a wasteful number, since it uses less digits than its factorization.

353298816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 810 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 353298816 is about 18796.2447313286. The cubic root of 353298816 is about 706.9370240402.

The spelling of 353298816 in words is "three hundred fifty-three million, two hundred ninety-eight thousand, eight hundred sixteen".