459098640 has 720 divisors, whose sum is σ = 2123971200. Its totient is φ = 88058880.

The previous prime is 459098639. The next prime is 459098657. The reversal of 459098640 is 46890954.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×459098640² = 421543122499699200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35315274 + ... + 35315286.

It is an arithmetic number, because the mean of its divisors is an integer number (2949960).

Almost surely, 2^459098640 is an apocalyptic number.

459098640 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 459098640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061985600).

459098640 is an abundant number, since it is smaller than the sum of its proper divisors (1664872560).

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

459098640 is a wasteful number, since it uses less digits than its factorization.

459098640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 459098640 is about 21426.5872224207. The cubic root of 459098640 is about 771.4397305852.

The spelling of 459098640 in words is "four hundred fifty-nine million, ninety-eight thousand, six hundred forty".