353411120 has 80 divisors (see below), whose sum is σ = 837803520. Its totient is φ = 138624000.

The previous prime is 353411119. The next prime is 353411137. The reversal of 353411120 is 21114353.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 353411092 and 353411101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1543166 + ... + 1543394.

It is an arithmetic number, because the mean of its divisors is an integer number (10472544).

Almost surely, 2^353411120 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 353411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418901760).

353411120 is an abundant number, since it is smaller than the sum of its proper divisors (484392400).

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

353411120 is a wasteful number, since it uses less digits than its factorization.

353411120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 353411120 is about 18799.2318992027. The cubic root of 353411120 is about 707.0119213993.

Adding to 353411120 its reverse (21114353), we get a palindrome (374525473).

The spelling of 353411120 in words is "three hundred fifty-three million, four hundred eleven thousand, one hundred twenty".