459666480 has 240 divisors, whose sum is σ = 1764529920. Its totient is φ = 96924672.

The previous prime is 459666461. The next prime is 459666491. The reversal of 459666480 is 84666954.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×459666480² = 422586545671180800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283111 + ... + 284729.

It is an arithmetic number, because the mean of its divisors is an integer number (7352208).

Almost surely, 2^459666480 is an apocalyptic number.

459666480 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 459666480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882264960).

459666480 is an abundant number, since it is smaller than the sum of its proper divisors (1304863440).

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

459666480 is a wasteful number, since it uses less digits than its factorization.

459666480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 459666480 is about 21439.8339545809. The cubic root of 459666480 is about 771.7576534444.

The spelling of 459666480 in words is "four hundred fifty-nine million, six hundred sixty-six thousand, four hundred eighty".