1293993792 has 420 divisors, whose sum is σ = 4769425056. Its totient is φ = 339655680.

The previous prime is 1293993763. The next prime is 1293993817. The reversal of 1293993792 is 2973993921.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a zygodrome in base 6.

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 59 ways as a sum of consecutive naturals, for example, 6132567 + ... + 6132777.

Almost surely, 2^1293993792 is an apocalyptic number.

1293993792 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 1293993792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384712528).

1293993792 is an abundant number, since it is smaller than the sum of its proper divisors (3475431264).

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

1293993792 is a wasteful number, since it uses less digits than its factorization.

1293993792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 236 counting only the distinct ones).

The product of its digits is 1653372, while the sum is 54.

The square root of 1293993792 is about 35972.1252082776. The cubic root of 1293993792 is about 1089.7094846223.

The spelling of 1293993792 in words is "one billion, two hundred ninety-three million, nine hundred ninety-three thousand, seven hundred ninety-two".