1156884480 has 144 divisors (see below), whose sum is σ = 4009873140. Its totient is φ = 308477952.

The previous prime is 1156884479. The next prime is 1156884497. The reversal of 1156884480 is 844886511.

1156884480 is a `hidden beast` number, since 1 + 1 + 568 + 8 + 4 + 4 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1059111936 + 97772544 = 32544^2 + 9888^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85884 + ... + 98436.

Almost surely, 2^1156884480 is an apocalyptic number.

1156884480 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 1156884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004936570).

1156884480 is an abundant number, since it is smaller than the sum of its proper divisors (2852988660).

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

1156884480 is a wasteful number, since it uses less digits than its factorization.

1156884480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12586 (or 12563 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 1156884480 is about 34013.0045717811. The cubic root of 1156884480 is about 1049.7760610863.

The spelling of 1156884480 in words is "one billion, one hundred fifty-six million, eight hundred eighty-four thousand, four hundred eighty".