459555840 has 132 divisors (see below), whose sum is σ = 1592508684. Its totient is φ = 122535936.

The previous prime is 459555827. The next prime is 459555841. The reversal of 459555840 is 48555954.

459555840 is a `hidden beast` number, since 4 + 5 + 95 + 558 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105513984 + 354041856 = 10272^2 + 18816^2 .

It is a super-2 number, since 2×459555840² = 422383140156211200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (459555841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41094 + ... + 51066.

Almost surely, 2^459555840 is an apocalyptic number.

459555840 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 459555840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796254342).

459555840 is an abundant number, since it is smaller than the sum of its proper divisors (1132952844).

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

459555840 is a wasteful number, since it uses less digits than its factorization.

459555840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10004 (or 9983 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The square root of 459555840 is about 21437.2535554348. The cubic root of 459555840 is about 771.6957287503.

The spelling of 459555840 in words is "four hundred fifty-nine million, five hundred fifty-five thousand, eight hundred forty".