1293409488 has 120 divisors (see below), whose sum is σ = 3936593280. Its totient is φ = 364815360.

The previous prime is 1293409471. The next prime is 1293409511. The reversal of 1293409488 is 8849043921.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182328 + ... + 189288.

It is an arithmetic number, because the mean of its divisors is an integer number (32804944).

Almost surely, 2^1293409488 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 1293409488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968296640).

1293409488 is an abundant number, since it is smaller than the sum of its proper divisors (2643183792).

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

1293409488 is a wasteful number, since it uses less digits than its factorization.

1293409488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7065 (or 7052 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 1293409488 is about 35964.0026693359. The cubic root of 1293409488 is about 1089.5454401794.

The spelling of 1293409488 in words is "one billion, two hundred ninety-three million, four hundred nine thousand, four hundred eighty-eight".