459414080 has 28 divisors (see below), whose sum is σ = 1093980540. Its totient is φ = 183765504.

The previous prime is 459414077. The next prime is 459414097. The reversal of 459414080 is 80414954.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 231283264 + 228130816 = 15208^2 + 15104^2 .

It is a super-2 number, since 2×459414080² = 422122593804492800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 459414080.

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, 717515 + ... + 718154.

Almost surely, 2^459414080 is an apocalyptic number.

459414080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

459414080 is an abundant number, since it is smaller than the sum of its proper divisors (634566460).

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

459414080 is a wasteful number, since it uses less digits than its factorization.

459414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435686 (or 1435676 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 459414080 is about 21433.9469067179. The cubic root of 459414080 is about 771.6163718094.

The spelling of 459414080 in words is "four hundred fifty-nine million, four hundred fourteen thousand, eighty".