1352868480 has 192 divisors, whose sum is σ = 4845204000. Its totient is φ = 360723456.

The previous prime is 1352868469. The next prime is 1352868493. The reversal of 1352868480 is 848682531.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151171 + ... + 159869.

Almost surely, 2^1352868480 is an apocalyptic number.

1352868480 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 1352868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422602000).

1352868480 is an abundant number, since it is smaller than the sum of its proper divisors (3492335520).

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

1352868480 is an frugal number, since it uses more digits than its factorization.

1352868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8733 (or 8709 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 1352868480 is about 36781.3604968604. The cubic root of 1352868480 is about 1105.9916788394.

The spelling of 1352868480 in words is "one billion, three hundred fifty-two million, eight hundred sixty-eight thousand, four hundred eighty".