1296453600 has 648 divisors, whose sum is σ = 5381452440. Its totient is φ = 302330880.

The previous prime is 1296453577. The next prime is 1296453601. The reversal of 1296453600 is 63546921.

It is a happy number.

1296453600 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 45 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1296453601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 68234391 + ... + 68234409.

Almost surely, 2^1296453600 is an apocalyptic number.

1296453600 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 1296453600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690726220).

1296453600 is an abundant number, since it is smaller than the sum of its proper divisors (4084998840).

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

1296453600 is an equidigital number, since it uses as much as digits as its factorization.

1296453600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1296453600 is about 36006.2994488464. The cubic root of 1296453600 is about 1090.3995393038.

It can be divided in two parts, 12964 and 53600, that added together give a square (66564 = 258²).

The spelling of 1296453600 in words is "one billion, two hundred ninety-six million, four hundred fifty-three thousand, six hundred".