1297994400 has 216 divisors, whose sum is σ = 4689754524. Its totient is φ = 337612800.

The previous prime is 1297994363. The next prime is 1297994407. The reversal of 1297994400 is 44997921.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 153660816 + 1144333584 = 12396^2 + 33828^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1297994407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 293002 + ... + 297398.

Almost surely, 2^1297994400 is an apocalyptic number.

1297994400 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 1297994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344877262).

1297994400 is an abundant number, since it is smaller than the sum of its proper divisors (3391760124).

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

1297994400 is a wasteful number, since it uses less digits than its factorization.

1297994400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4464 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1297994400 is about 36027.6893513864. The cubic root of 1297994400 is about 1090.8313383979.

The spelling of 1297994400 in words is "one billion, two hundred ninety-seven million, nine hundred ninety-four thousand, four hundred".