1156480240 has 80 divisors (see below), whose sum is σ = 2766117600. Its totient is φ = 449478656.

The previous prime is 1156480229. The next prime is 1156480331. The reversal of 1156480240 is 420846511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418704 + ... + 421456.

It is an arithmetic number, because the mean of its divisors is an integer number (34576470).

Almost surely, 2^1156480240 is an apocalyptic number.

1156480240 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 1156480240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383058800).

1156480240 is an abundant number, since it is smaller than the sum of its proper divisors (1609637360).

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

1156480240 is a wasteful number, since it uses less digits than its factorization.

1156480240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 1156480240 is about 34007.0616196107. The cubic root of 1156480240 is about 1049.6537754940.

The spelling of 1156480240 in words is "one billion, one hundred fifty-six million, four hundred eighty thousand, two hundred forty".