460925729208 has 256 divisors, whose sum is σ = 1528492032000. Its totient is φ = 125833986432.

The previous prime is 460925729203. The next prime is 460925729267. The reversal of 460925729208 is 802927529064.

460925729208 is a `hidden beast` number, since 4 + 60 + 9 + 2 + 572 + 9 + 2 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460925729203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35430241 + ... + 35443247.

It is an arithmetic number, because the mean of its divisors is an integer number (5970672000).

Almost surely, 2^460925729208 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 460925729208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764246016000).

460925729208 is an abundant number, since it is smaller than the sum of its proper divisors (1067566302792).

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

460925729208 is a wasteful number, since it uses less digits than its factorization.

460925729208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14071 (or 14061 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 460925729208 in words is "four hundred sixty billion, nine hundred twenty-five million, seven hundred twenty-nine thousand, two hundred eight".