348464 has 20 divisors (see below), whose sum is σ = 699360. Its totient is φ = 168000.

The previous prime is 348463. The next prime is 348487. The reversal of 348464 is 464843.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 348464.

It is not an unprimeable number, because it can be changed into a prime (348461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89 + ... + 839.

It is an arithmetic number, because the mean of its divisors is an integer number (34968).

2³⁴⁸⁴⁶⁴ 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 348464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349680).

348464 is an abundant number, since it is smaller than the sum of its proper divisors (350896).

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

348464 is a wasteful number, since it uses less digits than its factorization.

348464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 782 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

The square root of 348464 is about 590.3083939772. The cubic root of 348464 is about 70.3697442303.

The spelling of 348464 in words is "three hundred forty-eight thousand, four hundred sixty-four".