466709384520 has 256 divisors, whose sum is σ = 1615483699200. Its totient is φ = 119756206080.

The previous prime is 466709384497. The next prime is 466709384527. The reversal of 466709384520 is 25483907664.

466709384520 is a `hidden beast` number, since 46 + 6 + 70 + 9 + 3 + 8 + 4 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (466709384527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3160249 + ... + 3304631.

It is an arithmetic number, because the mean of its divisors is an integer number (6310483200).

Almost surely, 2^466709384520 is an apocalyptic number.

466709384520 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 466709384520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807741849600).

466709384520 is an abundant number, since it is smaller than the sum of its proper divisors (1148774314680).

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

466709384520 is a wasteful number, since it uses less digits than its factorization.

466709384520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144517 (or 144507 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 466709384520 in words is "four hundred sixty-six billion, seven hundred nine million, three hundred eighty-four thousand, five hundred twenty".