306480 has 40 divisors (see below), whose sum is σ = 950832. Its totient is φ = 81664.

The previous prime is 306479. The next prime is 306491. The reversal of 306480 is 84603.

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 306480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 399 + ... + 878.

2³⁰⁶⁴⁸⁰ is an apocalyptic number.

306480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

306480 is an abundant number, since it is smaller than the sum of its proper divisors (644352).

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

306480 is a wasteful number, since it uses less digits than its factorization.

306480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 306480 is about 553.6063583450. The cubic root of 306480 is about 67.4218574456.

The spelling of 306480 in words is "three hundred six thousand, four hundred eighty".