460590001256 has 384 divisors, whose sum is σ = 1160253696000. Its totient is φ = 171003571200.

The previous prime is 460590001243. The next prime is 460590001301. The reversal of 460590001256 is 652100095064.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 751370006 + ... + 751370618.

It is an arithmetic number, because the mean of its divisors is an integer number (3021494000).

Almost surely, 2^460590001256 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 460590001256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580126848000).

460590001256 is an abundant number, since it is smaller than the sum of its proper divisors (699663694744).

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

460590001256 is a wasteful number, since it uses less digits than its factorization.

460590001256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 460590001256 in words is "four hundred sixty billion, five hundred ninety million, one thousand, two hundred fifty-six".