353120240 has 160 divisors (see below), whose sum is σ = 942528960. Its totient is φ = 121856000.

The previous prime is 353120239. The next prime is 353120293. The reversal of 353120240 is 42021353.

It is a happy number.

353120240 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-3 number, since 3×353120240³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2577452 + ... + 2577588.

It is an arithmetic number, because the mean of its divisors is an integer number (5890806).

Almost surely, 2^353120240 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 353120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471264480).

353120240 is an abundant number, since it is smaller than the sum of its proper divisors (589408720).

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

353120240 is a wasteful number, since it uses less digits than its factorization.

353120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 353120240 is about 18791.4938203433. The cubic root of 353120240 is about 706.8178961178.

Adding to 353120240 its reverse (42021353), we get a palindrome (395141593).

The spelling of 353120240 in words is "three hundred fifty-three million, one hundred twenty thousand, two hundred forty".