1459086480 has 160 divisors (see below), whose sum is σ = 5041998720. Its totient is φ = 387832320.

The previous prime is 1459086467. The next prime is 1459086481. The reversal of 1459086480 is 846809541.

1459086480 is a `hidden beast` number, since 1 + 4 + 5 + 90 + 86 + 480 = 666.

It is a super-2 number, since 2×1459086480² = 4257866712237580800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1459086481) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 804775 + ... + 806585.

It is an arithmetic number, because the mean of its divisors is an integer number (31512492).

Almost surely, 2^1459086480 is an apocalyptic number.

1459086480 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 1459086480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520999360).

1459086480 is an abundant number, since it is smaller than the sum of its proper divisors (3582912240).

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

1459086480 is a wasteful number, since it uses less digits than its factorization.

1459086480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1459086480 is about 38197.9905230629. The cubic root of 1459086480 is about 1134.2105373211.

The spelling of 1459086480 in words is "one billion, four hundred fifty-nine million, eighty-six thousand, four hundred eighty".