1294466400 has 144 divisors (see below), whose sum is σ = 4681731600. Its totient is φ = 345185280.

The previous prime is 1294466363. The next prime is 1294466471. The reversal of 1294466400 is 46644921.

1294466400 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 4 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8365 + ... + 51564.

It is an arithmetic number, because the mean of its divisors is an integer number (32512025).

Almost surely, 2^1294466400 is an apocalyptic number.

1294466400 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 1294466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340865800).

1294466400 is an abundant number, since it is smaller than the sum of its proper divisors (3387265200).

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

1294466400 is a wasteful number, since it uses less digits than its factorization.

1294466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59958 (or 59939 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1294466400 is about 35978.6936950190. The cubic root of 1294466400 is about 1089.8421340825.

The spelling of 1294466400 in words is "one billion, two hundred ninety-four million, four hundred sixty-six thousand, four hundred".