1294424064 has 288 divisors, whose sum is σ = 4123501200. Its totient is φ = 406093824.

The previous prime is 1294424057. The next prime is 1294424071. The reversal of 1294424064 is 4604244921.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (1294424057) and next prime (1294424071).

It is a tau number, because it is divible by the number of its divisors (288).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76142584 + ... + 76142600.

Almost surely, 2^1294424064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1294424064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061750600).

1294424064 is an abundant number, since it is smaller than the sum of its proper divisors (2829077136).

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

1294424064 is an frugal number, since it uses more digits than its factorization.

1294424064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1294424064 is about 35978.1053419993. The cubic root of 1294424064 is about 1089.8302527236.

Multiplying 1294424064 by its product of nonzero digits (55296), we get a square (71576473042944 = 8460288²).

1294424064 divided by its product of nonzero digits (55296) gives a square (23409 = 153²).

Adding to 1294424064 its reverse (4604244921), we get a palindrome (5898668985).

The spelling of 1294424064 in words is "one billion, two hundred ninety-four million, four hundred twenty-four thousand, sixty-four".