345456 has 30 divisors (see below), whose sum is σ = 967200. Its totient is φ = 115104.

The previous prime is 345451. The next prime is 345461. The reversal of 345456 is 654543.

345456 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (345451) and next prime (345461).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345451) by changing a digit.

345456 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 5 ways as a sum of consecutive naturals, for example, 1056 + ... + 1343.

It is an arithmetic number, because the mean of its divisors is an integer number (32240).

2³⁴⁵⁴⁵⁶ is an apocalyptic number.

345456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

345456 is an abundant number, since it is smaller than the sum of its proper divisors (621744).

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

345456 is a wasteful number, since it uses less digits than its factorization.

345456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2404 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 345456 is about 587.7550510204. The cubic root of 345456 is about 70.1666776373.

Adding to 345456 its reverse (654543), we get a palindrome (999999).

The spelling of 345456 in words is "three hundred forty-five thousand, four hundred fifty-six".