1305546480 has 240 divisors, whose sum is σ = 5146974144. Its totient is φ = 290304000.

The previous prime is 1305546479. The next prime is 1305546481. The reversal of 1305546480 is 846455031.

It is a happy number.

1305546480 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 5 + 4 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1305546479) and next prime (1305546481).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1305546480² = 3408903222880780800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305546481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182980 + ... + 189980.

Almost surely, 2^1305546480 is an apocalyptic number.

1305546480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305546480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573487072).

1305546480 is an abundant number, since it is smaller than the sum of its proper divisors (3841427664).

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

1305546480 is a wasteful number, since it uses less digits than its factorization.

1305546480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7064 (or 7055 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1305546480 is about 36132.3467269980. The cubic root of 1305546480 is about 1092.9428318231.

The spelling of 1305546480 in words is "one billion, three hundred five million, five hundred forty-six thousand, four hundred eighty".