1296449280 has 576 divisors, whose sum is σ = 5509969920. Its totient is φ = 282230784.

The previous prime is 1296449261. The next prime is 1296449299. The reversal of 1296449280 is 829446921.

1296449280 is a `hidden beast` number, since 1 + 29 + 64 + 492 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1296449261) and next prime (1296449299).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1296449280² = 3361561471225036800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5564044 + ... + 5564276.

It is an arithmetic number, because the mean of its divisors is an integer number (9565920).

Almost surely, 2^1296449280 is an apocalyptic number.

1296449280 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 1296449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754984960).

1296449280 is an abundant number, since it is smaller than the sum of its proper divisors (4213520640).

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

1296449280 is a wasteful number, since it uses less digits than its factorization.

1296449280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1296449280 is about 36006.2394592937. The cubic root of 1296449280 is about 1090.3983281714.

The spelling of 1296449280 in words is "one billion, two hundred ninety-six million, four hundred forty-nine thousand, two hundred eighty".