1294945344 has 504 divisors, whose sum is σ = 4869472608. Its totient is φ = 325140480.

The previous prime is 1294945339. The next prime is 1294945411. The reversal of 1294945344 is 4435494921.

1294945344 is a `hidden beast` number, since 1 + 29 + 4 + 94 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 1294945344.

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 71 ways as a sum of consecutive naturals, for example, 13349904 + ... + 13350000.

It is an arithmetic number, because the mean of its divisors is an integer number (9661652).

Almost surely, 2^1294945344 is an apocalyptic number.

1294945344 is a gapful number since it is divisible by the number (14) 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 1294945344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434736304).

1294945344 is an abundant number, since it is smaller than the sum of its proper divisors (3574527264).

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

1294945344 is a wasteful number, since it uses less digits than its factorization.

1294945344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 163 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 1294945344 is about 35985.3490187326. The cubic root of 1294945344 is about 1089.9765289674.

The spelling of 1294945344 in words is "one billion, two hundred ninety-four million, nine hundred forty-five thousand, three hundred forty-four".