1293449472 has 540 divisors, whose sum is σ = 4793139120. Its totient is φ = 344881152.

The previous prime is 1293449461. The next prime is 1293449477. The reversal of 1293449472 is 2749443921.

1293449472 is a `hidden beast` number, since 1 + 2 + 93 + 4 + 494 + 72 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (435456) is a multiple of the sum of its prime factors (128).

It is not an unprimeable number, because it can be changed into a prime (1293449477) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 19305183 + ... + 19305249.

Almost surely, 2^1293449472 is an apocalyptic number.

1293449472 is a gapful number since it is divisible by the number (12) 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 1293449472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396569560).

1293449472 is an abundant number, since it is smaller than the sum of its proper divisors (3499689648).

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

1293449472 is an equidigital number, since it uses as much as digits as its factorization.

1293449472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 98 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 1293449472 is about 35964.5585542211. The cubic root of 1293449472 is about 1089.5566673369.

It can be divided in two parts, 1293449 and 472, that added together give a palindrome (1293921).

The spelling of 1293449472 in words is "one billion, two hundred ninety-three million, four hundred forty-nine thousand, four hundred seventy-two".