345408 has 56 divisors (see below), whose sum is σ = 1048512. Its totient is φ = 98304.

The previous prime is 345379. The next prime is 345413. The reversal of 345408 is 804543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

345408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1216 + ... + 1472.

2³⁴⁵⁴⁰⁸ 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 345408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524256).

345408 is an abundant number, since it is smaller than the sum of its proper divisors (703104).

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

345408 is a wasteful number, since it uses less digits than its factorization.

345408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 345408 is about 587.7142162650. The cubic root of 345408 is about 70.1634276754.

The spelling of 345408 in words is "three hundred forty-five thousand, four hundred eight".