459684080 has 80 divisors (see below), whose sum is σ = 1137382560. Its totient is φ = 172179456.

The previous prime is 459684079. The next prime is 459684083. The reversal of 459684080 is 80486954.

It is a happy number.

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

It is a super-2 number, since 2×459684080² = 422618906810892800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459684083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307976 + ... + 309464.

It is an arithmetic number, because the mean of its divisors is an integer number (14217282).

Almost surely, 2^459684080 is an apocalyptic number.

459684080 is a gapful number since it is divisible by the number (40) 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 459684080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568691280).

459684080 is an abundant number, since it is smaller than the sum of its proper divisors (677698480).

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

459684080 is a wasteful number, since it uses less digits than its factorization.

459684080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 459684080 is about 21440.2444015921. The cubic root of 459684080 is about 771.7675031666.

The spelling of 459684080 in words is "four hundred fifty-nine million, six hundred eighty-four thousand, eighty".