1305240480 has 288 divisors, whose sum is σ = 4705646400. Its totient is φ = 341563392.

The previous prime is 1305240479. The next prime is 1305240491. The reversal of 1305240480 is 840425031.

1305240480 is a `hidden beast` number, since 130 + 52 + 4 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2293636 + ... + 2294204.

It is an arithmetic number, because the mean of its divisors is an integer number (16339050).

Almost surely, 2^1305240480 is an apocalyptic number.

1305240480 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 1305240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352823200).

1305240480 is an abundant number, since it is smaller than the sum of its proper divisors (3400405920).

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

1305240480 is an equidigital number, since it uses as much as digits as its factorization.

1305240480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1305240480 is about 36128.1120458847. The cubic root of 1305240480 is about 1092.8574354918.

The spelling of 1305240480 in words is "one billion, three hundred five million, two hundred forty thousand, four hundred eighty".