1193364480 has 352 divisors, whose sum is σ = 4763450880. Its totient is φ = 247726080.

The previous prime is 1193364479. The next prime is 1193364481. The reversal of 1193364480 is 844633911.

It is an interprime number because it is at equal distance from previous prime (1193364479) and next prime (1193364481).

It is a tau number, because it is divible by the number of its divisors (352).

It is not an unprimeable number, because it can be changed into a prime (1193364481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182216 + ... + 1183224.

Almost surely, 2^1193364480 is an apocalyptic number.

1193364480 is a gapful number since it is divisible by the number (10) 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 1193364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381725440).

1193364480 is an abundant number, since it is smaller than the sum of its proper divisors (3570086400).

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

1193364480 is a wasteful number, since it uses less digits than its factorization.

1193364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1193364480 is about 34545.1079025670. The cubic root of 1193364480 is about 1060.6962555145.

The spelling of 1193364480 in words is "one billion, one hundred ninety-three million, three hundred sixty-four thousand, four hundred eighty".