460686320640 has 1584 divisors, whose sum is σ = 2055139003008. Its totient is φ = 96889208832.

The previous prime is 460686320587. The next prime is 460686320641. The reversal of 460686320640 is 46023686064.

460686320640 is a `hidden beast` number, since 4 + 6 + 0 + 6 + 8 + 632 + 0 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (460686320641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1471841124 + ... + 1471841436.

Almost surely, 2^460686320640 is an apocalyptic number.

460686320640 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 460686320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027569501504).

460686320640 is an abundant number, since it is smaller than the sum of its proper divisors (1594452682368).

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

460686320640 is a wasteful number, since it uses less digits than its factorization.

460686320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 460686320640 in words is "four hundred sixty billion, six hundred eighty-six million, three hundred twenty thousand, six hundred forty".