1353231360 has 440 divisors, whose sum is σ = 5243038416. Its totient is φ = 331776000.

The previous prime is 1353231353. The next prime is 1353231389. The reversal of 1353231360 is 631323531.

It is a happy number.

It is a super-2 number, since 2×1353231360² = 3662470227374899200, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 5391235 + ... + 5391485.

Almost surely, 2^1353231360 is an apocalyptic number.

1353231360 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 1353231360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621519208).

1353231360 is an abundant number, since it is smaller than the sum of its proper divisors (3889807056).

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

1353231360 is a wasteful number, since it uses less digits than its factorization.

1353231360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 1353231360 is about 36786.2930994684. The cubic root of 1353231360 is about 1106.0905567391.

Adding to 1353231360 its reverse (631323531), we get a palindrome (1984554891).

The spelling of 1353231360 in words is "one billion, three hundred fifty-three million, two hundred thirty-one thousand, three hundred sixty".