353488842 has 72 divisors (see below), whose sum is σ = 896313600. Its totient is φ = 100387728.

The previous prime is 353488819. The next prime is 353488847. The reversal of 353488842 is 248884353.

353488842 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×353488842² = 249908722837001928, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (353488847) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 156759 + ... + 158997.

It is an arithmetic number, because the mean of its divisors is an integer number (12448800).

Almost surely, 2^353488842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353488842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448156800).

353488842 is an abundant number, since it is smaller than the sum of its proper divisors (542824758).

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

353488842 is a wasteful number, since it uses less digits than its factorization.

353488842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2430 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 353488842 is about 18801.2989444879. The cubic root of 353488842 is about 707.0637461719.

The spelling of 353488842 in words is "three hundred fifty-three million, four hundred eighty-eight thousand, eight hundred forty-two".