345480 has 32 divisors (see below), whose sum is σ = 1036800. Its totient is φ = 92096.

The previous prime is 345479. The next prime is 345487. The reversal of 345480 is 84543.

It is a happy number.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 345480.

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 345480.

It is not an unprimeable number, because it can be changed into a prime (345487) 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 7 ways as a sum of consecutive naturals, for example, 1320 + ... + 1559.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2³⁴⁵⁴⁸⁰ is an apocalyptic number.

345480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345480 is an abundant number, since it is smaller than the sum of its proper divisors (691320).

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

345480 is a wasteful number, since it uses less digits than its factorization.

345480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2889 counting only the distinct ones).

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

The square root of 345480 is about 587.7754673343. The cubic root of 345480 is about 70.1683025054.

It can be divided in two parts, 345 and 480, that multiplied together give a triangular number (165600 = T₅₇₅).

The spelling of 345480 in words is "three hundred forty-five thousand, four hundred eighty".