350768460 has 144 divisors (see below), whose sum is σ = 1149694560. Its totient is φ = 79672320.

The previous prime is 350768459. The next prime is 350768461. The reversal of 350768460 is 64867053.

350768460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (350768459) and next prime (350768461).

It is not an unprimeable number, because it can be changed into a prime (350768461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 673000 + ... + 673520.

It is an arithmetic number, because the mean of its divisors is an integer number (7983990).

Almost surely, 2^350768460 is an apocalyptic number.

350768460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350768460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574847280).

350768460 is an abundant number, since it is smaller than the sum of its proper divisors (798926100).

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

350768460 is a wasteful number, since it uses less digits than its factorization.

350768460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 350768460 is about 18728.8136303397. The cubic root of 350768460 is about 705.2452644958.

The spelling of 350768460 in words is "three hundred fifty million, seven hundred sixty-eight thousand, four hundred sixty".