1180408320 has 480 divisors, whose sum is σ = 5040427392. Its totient is φ = 248610816.

The previous prime is 1180408309. The next prime is 1180408331. The reversal of 1180408320 is 238040811.

It is an interprime number because it is at equal distance from previous prime (1180408309) and next prime (1180408331).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2096359 + ... + 2096921.

Almost surely, 2^1180408320 is an apocalyptic number.

1180408320 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 1180408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520213696).

1180408320 is an abundant number, since it is smaller than the sum of its proper divisors (3860019072).

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

1180408320 is a wasteful number, since it uses less digits than its factorization.

1180408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1180408320 is about 34357.0708879555. The cubic root of 1180408320 is about 1056.8436783910.

The spelling of 1180408320 in words is "one billion, one hundred eighty million, four hundred eight thousand, three hundred twenty".