1326458880 has 288 divisors, whose sum is σ = 4733656200. Its totient is φ = 343277568.

The previous prime is 1326458879. The next prime is 1326458899. The reversal of 1326458880 is 888546231.

1326458880 is a `hidden beast` number, since 1 + 3 + 2 + 64 + 588 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1148396544 + 178062336 = 33888^2 + 13344^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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, 3409726 + ... + 3410114.

Almost surely, 2^1326458880 is an apocalyptic number.

1326458880 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 1326458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366828100).

1326458880 is an abundant number, since it is smaller than the sum of its proper divisors (3407197320).

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

1326458880 is a wasteful number, since it uses less digits than its factorization.

1326458880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 436 counting only the distinct ones).

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

The square root of 1326458880 is about 36420.5831913768. The cubic root of 1326458880 is about 1098.7475773301.

The spelling of 1326458880 in words is "one billion, three hundred twenty-six million, four hundred fifty-eight thousand, eight hundred eighty".