350014464 has 132 divisors (see below), whose sum is σ = 1021223736. Its totient is φ = 115458048.

The previous prime is 350014463. The next prime is 350014481. The reversal of 350014464 is 464410053.

350014464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (350014463) 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, 1502092 + ... + 1502324.

Almost surely, 2^350014464 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 350014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510611868).

350014464 is an abundant number, since it is smaller than the sum of its proper divisors (671209272).

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

350014464 is a wasteful number, since it uses less digits than its factorization.

350014464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 350014464 is about 18708.6734965363. The cubic root of 350014464 is about 704.7395808946.

The spelling of 350014464 in words is "three hundred fifty million, fourteen thousand, four hundred sixty-four".