459710642160 has 960 divisors, whose sum is σ = 2127714531840. Its totient is φ = 89901342720.

The previous prime is 459710642093. The next prime is 459710642201. The reversal of 459710642160 is 61246017954.

459710642160 is a `hidden beast` number, since 4 + 597 + 1 + 0 + 6 + 42 + 16 + 0 = 666.

It is a super-2 number, since 2×459710642160² (a number of 24 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19780467 + ... + 19803693.

It is an arithmetic number, because the mean of its divisors is an integer number (2216369304).

Almost surely, 2^459710642160 is an apocalyptic number.

459710642160 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 459710642160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063857265920).

459710642160 is an abundant number, since it is smaller than the sum of its proper divisors (1668003889680).

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

459710642160 is a wasteful number, since it uses less digits than its factorization.

459710642160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23291 (or 23272 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

It can be divided in two parts, 459710 and 642160, that added together give a triangular number (1101870 = T₁₄₈₄).

The spelling of 459710642160 in words is "four hundred fifty-nine billion, seven hundred ten million, six hundred forty-two thousand, one hundred sixty".