350460576 has 144 divisors (see below), whose sum is σ = 1078406784. Its totient is φ = 107538432.

The previous prime is 350460571. The next prime is 350460577. The reversal of 350460576 is 675064053.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 350460576.

It is not an unprimeable number, because it can be changed into a prime (350460571) 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 23 ways as a sum of consecutive naturals, for example, 229351 + ... + 230873.

It is an arithmetic number, because the mean of its divisors is an integer number (7488936).

Almost surely, 2^350460576 is an apocalyptic number.

350460576 is a gapful number since it is divisible by the number (36) 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 350460576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539203392).

350460576 is an abundant number, since it is smaller than the sum of its proper divisors (727946208).

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

350460576 is a wasteful number, since it uses less digits than its factorization.

350460576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 350460576 is about 18720.5922983222. The cubic root of 350460576 is about 705.0388631059.

The spelling of 350460576 in words is "three hundred fifty million, four hundred sixty thousand, five hundred seventy-six".