460759328640 has 768 divisors, whose sum is σ = 1871184369600. Its totient is φ = 106734551040.

The previous prime is 460759328621. The next prime is 460759328663. The reversal of 460759328640 is 46823957064.

460759328640 is a `hidden beast` number, since 4 + 6 + 0 + 7 + 593 + 2 + 8 + 6 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 49640800 + ... + 49650080.

Almost surely, 2^460759328640 is an apocalyptic number.

460759328640 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 460759328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935592184800).

460759328640 is an abundant number, since it is smaller than the sum of its proper divisors (1410425040960).

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

460759328640 is a wasteful number, since it uses less digits than its factorization.

460759328640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9352 (or 9321 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 460759328640 in words is "four hundred sixty billion, seven hundred fifty-nine million, three hundred twenty-eight thousand, six hundred forty".