1293287424 has 288 divisors, whose sum is σ = 4227842304. Its totient is φ = 346030080.

The previous prime is 1293287423. The next prime is 1293287449. The reversal of 1293287424 is 4247823921.

It is a super-2 number, since 2×1293287424² = 3345184722153111552, which contains 22 as substring.

Its product of digits (193536) is a multiple of the sum of its prime factors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1293287423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56229877 + ... + 56229899.

It is an arithmetic number, because the mean of its divisors is an integer number (14680008).

Almost surely, 2^1293287424 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 1293287424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113921152).

1293287424 is an abundant number, since it is smaller than the sum of its proper divisors (2934554880).

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

1293287424 is an equidigital number, since it uses as much as digits as its factorization.

1293287424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 52 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 1293287424 is about 35962.3055990575. The cubic root of 1293287424 is about 1089.5111642444.

The spelling of 1293287424 in words is "one billion, two hundred ninety-three million, two hundred eighty-seven thousand, four hundred twenty-four".