459980640 has 576 divisors, whose sum is σ = 1954653120. Its totient is φ = 100638720.

The previous prime is 459980617. The next prime is 459980659. The reversal of 459980640 is 46089954.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8678854 + ... + 8678906.

It is an arithmetic number, because the mean of its divisors is an integer number (3393495).

Almost surely, 2^459980640 is an apocalyptic number.

459980640 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 459980640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977326560).

459980640 is an abundant number, since it is smaller than the sum of its proper divisors (1494672480).

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

459980640 is a wasteful number, since it uses less digits than its factorization.

459980640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

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

The square root of 459980640 is about 21447.1592524511. The cubic root of 459980640 is about 771.9334331894.

The spelling of 459980640 in words is "four hundred fifty-nine million, nine hundred eighty thousand, six hundred forty".