459130464 has 192 divisors, whose sum is σ = 1478796480. Its totient is φ = 137687040.

The previous prime is 459130457. The next prime is 459130471. The reversal of 459130464 is 464031954.

459130464 is a `hidden beast` number, since 4 + 591 + 3 + 0 + 4 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (459130457) and next prime (459130471).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460014 + ... + 461010.

It is an arithmetic number, because the mean of its divisors is an integer number (7702065).

Almost surely, 2^459130464 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 459130464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739398240).

459130464 is an abundant number, since it is smaller than the sum of its proper divisors (1019666016).

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

459130464 is a wasteful number, since it uses less digits than its factorization.

459130464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 459130464 is about 21427.3298383163. The cubic root of 459130464 is about 771.4575551720.

The spelling of 459130464 in words is "four hundred fifty-nine million, one hundred thirty thousand, four hundred sixty-four".