1356455360 has 112 divisors (see below), whose sum is σ = 3630021696. Its totient is φ = 479035392.

The previous prime is 1356455333. The next prime is 1356455411. The reversal of 1356455360 is 635546531.

It is a super-2 number, since 2×1356455360² = 3679942287345459200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88592 + ... + 102768.

It is an arithmetic number, because the mean of its divisors is an integer number (32410908).

Almost surely, 2^1356455360 is an apocalyptic number.

1356455360 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 1356455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815010848).

1356455360 is an abundant number, since it is smaller than the sum of its proper divisors (2273566336).

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

1356455360 is a wasteful number, since it uses less digits than its factorization.

1356455360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14230 (or 14220 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 38.

The square root of 1356455360 is about 36830.0877001399. The cubic root of 1356455360 is about 1106.9682602470.

The spelling of 1356455360 in words is "one billion, three hundred fifty-six million, four hundred fifty-five thousand, three hundred sixty".