353768240 has 60 divisors (see below), whose sum is σ = 956809296. Its totient is φ = 121290624.

The previous prime is 353768209. The next prime is 353768243. The reversal of 353768240 is 42867353.

It is a junction number, because it is equal to n+sod(n) for n = 353768194 and 353768203.

It is not an unprimeable number, because it can be changed into a prime (353768243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41204 + ... + 49043.

Almost surely, 2^353768240 is an apocalyptic number.

It is an amenable number.

353768240 is an abundant number, since it is smaller than the sum of its proper divisors (603041056).

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

353768240 is a wasteful number, since it uses less digits than its factorization.

353768240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90274 (or 90261 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 353768240 is about 18808.7277613346. The cubic root of 353768240 is about 707.2499851206.

The spelling of 353768240 in words is "three hundred fifty-three million, seven hundred sixty-eight thousand, two hundred forty".