1353730560 has 480 divisors, whose sum is σ = 5391619200. Its totient is φ = 283705344.

The previous prime is 1353730559. The next prime is 1353730577. The reversal of 1353730560 is 650373531.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

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, 9085366 + ... + 9085514.

It is an arithmetic number, because the mean of its divisors is an integer number (11232540).

Almost surely, 2^1353730560 is an apocalyptic number.

1353730560 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 1353730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695809600).

1353730560 is an abundant number, since it is smaller than the sum of its proper divisors (4037888640).

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

1353730560 is a wasteful number, since it uses less digits than its factorization.

1353730560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 33.

The square root of 1353730560 is about 36793.0776097896. The cubic root of 1353730560 is about 1106.2265503663.

The spelling of 1353730560 in words is "one billion, three hundred fifty-three million, seven hundred thirty thousand, five hundred sixty".