353253216 has 48 divisors (see below), whose sum is σ = 928295424. Its totient is φ = 117623424.

The previous prime is 353253211. The next prime is 353253227. The reversal of 353253216 is 612352353.

353253216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×353253216² = 249575669228685312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353253211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137641 + ... + 140183.

It is an arithmetic number, because the mean of its divisors is an integer number (19339488).

Almost surely, 2^353253216 is an apocalyptic number.

It is an amenable number.

353253216 is an abundant number, since it is smaller than the sum of its proper divisors (575042208).

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

353253216 is a wasteful number, since it uses less digits than its factorization.

353253216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003 (or 3995 counting only the distinct ones).

The product of its digits is 16200, while the sum is 30.

The square root of 353253216 is about 18795.0316839318. The cubic root of 353253216 is about 706.9066081299.

The spelling of 353253216 in words is "three hundred fifty-three million, two hundred fifty-three thousand, two hundred sixteen".