1359600480 has 576 divisors, whose sum is σ = 5786726400. Its totient is φ = 283668480.

The previous prime is 1359600439. The next prime is 1359600497. The reversal of 1359600480 is 840069531.

1359600480 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 600 + 48 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5937006 + ... + 5937234.

It is an arithmetic number, because the mean of its divisors is an integer number (10046400).

Almost surely, 2^1359600480 is an apocalyptic number.

1359600480 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 1359600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893363200).

1359600480 is an abundant number, since it is smaller than the sum of its proper divisors (4427125920).

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

1359600480 is a wasteful number, since it uses less digits than its factorization.

1359600480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1359600480 is about 36872.7606777686. The cubic root of 1359600480 is about 1107.8231503204.

The spelling of 1359600480 in words is "one billion, three hundred fifty-nine million, six hundred thousand, four hundred eighty".