460120284000 has 384 divisors, whose sum is σ = 1803677016960. Its totient is φ = 113260032000.

The previous prime is 460120283947. The next prime is 460120284023. The reversal of 460120284000 is 482021064.

460120284000 is a `hidden beast` number, since 460 + 120 + 2 + 84 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×460120284000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1240140 + ... + 1567860.

It is an arithmetic number, because the mean of its divisors is an integer number (4697075565).

Almost surely, 2^460120284000 is an apocalyptic number.

460120284000 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 460120284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901838508480).

460120284000 is an abundant number, since it is smaller than the sum of its proper divisors (1343556732960).

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

460120284000 is a wasteful number, since it uses less digits than its factorization.

460120284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327768 (or 327744 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 460120284000 in words is "four hundred sixty billion, one hundred twenty million, two hundred eighty-four thousand".