1164520480 has 24 divisors (see below), whose sum is σ = 2751180012. Its totient is φ = 465808128.

The previous prime is 1164520471. The next prime is 1164520517. The reversal of 1164520480 is 840254611.

It can be written as a sum of positive squares in 2 ways, for example, as 1136768656 + 27751824 = 33716^2 + 5268^2 .

It is a super-2 number, since 2×1164520480² = 2712215896678860800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3638967 + ... + 3639286.

Almost surely, 2^1164520480 is an apocalyptic number.

1164520480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1164520480 is an abundant number, since it is smaller than the sum of its proper divisors (1586659532).

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

1164520480 is an equidigital number, since it uses as much as digits as its factorization.

1164520480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7278268 (or 7278260 counting only the distinct ones).

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

The square root of 1164520480 is about 34125.0711354570. The cubic root of 1164520480 is about 1052.0806754286.

The spelling of 1164520480 in words is "one billion, one hundred sixty-four million, five hundred twenty thousand, four hundred eighty".