460446263651640 has 256 divisors, whose sum is σ = 1590773551488000. Its totient is φ = 104438200688640.

The previous prime is 460446263651639. The next prime is 460446263651761. The reversal of 460446263651640 is 46156362644064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6149988126 + ... + 6150062994.

It is an arithmetic number, because the mean of its divisors is an integer number (6213959185500).

Almost surely, 2^{460446263651640} is an apocalyptic number.

460446263651640 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 460446263651640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795386775744000).

460446263651640 is an abundant number, since it is smaller than the sum of its proper divisors (1130327287836360).

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

460446263651640 is a wasteful number, since it uses less digits than its factorization.

460446263651640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130910 (or 130906 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 57.

The spelling of 460446263651640 in words is "four hundred sixty trillion, four hundred forty-six billion, two hundred sixty-three million, six hundred fifty-one thousand, six hundred forty".