346464 has 48 divisors (see below), whose sum is σ = 1013040. Its totient is φ = 115200.

The previous prime is 346453. The next prime is 346469. The reversal of 346464 is 464643.

It is a happy number.

346464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 346464.

It is not an unprimeable number, because it can be changed into a prime (346469) by changing a digit.

346464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 664 + ... + 1064.

It is an arithmetic number, because the mean of its divisors is an integer number (21105).

2³⁴⁶⁴⁶⁴ 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 346464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506520).

346464 is an abundant number, since it is smaller than the sum of its proper divisors (666576).

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

346464 is a wasteful number, since it uses less digits than its factorization.

346464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 406 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 346464 is about 588.6119264847. The cubic root of 346464 is about 70.2348574058.

The spelling of 346464 in words is "three hundred forty-six thousand, four hundred sixty-four".