1353711360 has 288 divisors, whose sum is σ = 4649037120. Its totient is φ = 334495744.

The previous prime is 1353711323. The next prime is 1353711367. The reversal of 1353711360 is 631173531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353711367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5809804 + ... + 5810036.

It is an arithmetic number, because the mean of its divisors is an integer number (16142490).

Almost surely, 2^1353711360 is an apocalyptic number.

1353711360 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 1353711360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324518560).

1353711360 is an abundant number, since it is smaller than the sum of its proper divisors (3295325760).

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

1353711360 is a wasteful number, since it uses less digits than its factorization.

1353711360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 1353711360 is about 36792.8166902182. The cubic root of 1353711360 is about 1106.2213204605.

Adding to 1353711360 its reverse (631173531), we get a palindrome (1984884891).

The spelling of 1353711360 in words is "one billion, three hundred fifty-three million, seven hundred eleven thousand, three hundred sixty".