460605783705984 has 1152 divisors, whose sum is σ = 1688875315545600. Its totient is φ = 124247448170496.

The previous prime is 460605783705971. The next prime is 460605783706007. The reversal of 460605783705984 is 489507387506064.

460605783705984 is a `hidden beast` number, since 4 + 6 + 0 + 60 + 5 + 78 + 370 + 59 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8484615289 + ... + 8484669575.

It is an arithmetic number, because the mean of its divisors is an integer number (1466037600300).

Almost surely, 2^{460605783705984} 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 460605783705984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844437657772800).

460605783705984 is an abundant number, since it is smaller than the sum of its proper divisors (1228269531839616).

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

460605783705984 is a wasteful number, since it uses less digits than its factorization.

460605783705984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54642 (or 54611 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 72.

The spelling of 460605783705984 in words is "four hundred sixty trillion, six hundred five billion, seven hundred eighty-three million, seven hundred five thousand, nine hundred eighty-four".