460120706784 has 288 divisors, whose sum is σ = 1354290223104. Its totient is φ = 148102041600.

The previous prime is 460120706761. The next prime is 460120706839. The reversal of 460120706784 is 487607021064.

460120706784 is a `hidden beast` number, since 460 + 120 + 7 + 0 + 67 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×460120706784² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 559076997 + ... + 559077819.

It is an arithmetic number, because the mean of its divisors is an integer number (4702396608).

Almost surely, 2^460120706784 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 460120706784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677145111552).

460120706784 is an abundant number, since it is smaller than the sum of its proper divisors (894169516320).

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

460120706784 is a wasteful number, since it uses less digits than its factorization.

460120706784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 460120706784 in words is "four hundred sixty billion, one hundred twenty million, seven hundred six thousand, seven hundred eighty-four".