1305480 has 128 divisors (see below), whose sum is σ = 4561920. Its totient is φ = 295680.

The previous prime is 1305449. The next prime is 1305511. The reversal of 1305480 is 845031.

It is an interprime number because it is at equal distance from previous prime (1305449) and next prime (1305511).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30339 + ... + 30381.

It is an arithmetic number, because the mean of its divisors is an integer number (35640).

2^1305480 is an apocalyptic number.

1305480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1305480 is the 660-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280960).

1305480 is an abundant number, since it is smaller than the sum of its proper divisors (3256440).

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

1305480 is a wasteful number, since it uses less digits than its factorization.

1305480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1305480 is about 1142.5760368571. The cubic root of 1305480 is about 109.2924280186.

The spelling of 1305480 in words is "one million, three hundred five thousand, four hundred eighty".