353768480 has 48 divisors (see below), whose sum is σ = 900073944. Its totient is φ = 130621440.

The previous prime is 353768461. The next prime is 353768489. The reversal of 353768480 is 84867353.

It can be written as a sum of positive squares in 4 ways, for example, as 115004176 + 238764304 = 10724^2 + 15452^2 .

It is not an unprimeable number, because it can be changed into a prime (353768489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82961 + ... + 87120.

Almost surely, 2^353768480 is an apocalyptic number.

It is an amenable number.

353768480 is an abundant number, since it is smaller than the sum of its proper divisors (546305464).

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

353768480 is a wasteful number, since it uses less digits than its factorization.

353768480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170109 (or 170101 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The square root of 353768480 is about 18808.7341413504. The cubic root of 353768480 is about 707.2501450558.

The spelling of 353768480 in words is "three hundred fifty-three million, seven hundred sixty-eight thousand, four hundred eighty".