459868140 has 72 divisors (see below), whose sum is σ = 1411785648. Its totient is φ = 121150080.

The previous prime is 459868103. The next prime is 459868193. The reversal of 459868140 is 41868954.

459868140 is a `hidden beast` number, since 459 + 86 + 81 + 40 = 666.

It is a super-2 number, since 2×459868140² = 422957412374119200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 451 + ... + 30330.

It is an arithmetic number, because the mean of its divisors is an integer number (19608134).

Almost surely, 2^459868140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459868140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705892824).

459868140 is an abundant number, since it is smaller than the sum of its proper divisors (951917508).

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

459868140 is a wasteful number, since it uses less digits than its factorization.

459868140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30879 (or 30874 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 459868140 is about 21444.5363671029. The cubic root of 459868140 is about 771.8704960535.

The spelling of 459868140 in words is "four hundred fifty-nine million, eight hundred sixty-eight thousand, one hundred forty".