460005432642 has 128 divisors (see below), whose sum is σ = 1226592921600. Its totient is φ = 125003850048.

The previous prime is 460005432611. The next prime is 460005432701. The reversal of 460005432642 is 246234500064.

460005432642 is a `hidden beast` number, since 4 + 6 + 0 + 0 + 0 + 5 + 4 + 3 + 2 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 460005432597 and 460005432606.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 421293 + ... + 1047615.

It is an arithmetic number, because the mean of its divisors is an integer number (9582757200).

Almost surely, 2^460005432642 is an apocalyptic number.

460005432642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 460005432642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613296460800).

460005432642 is an abundant number, since it is smaller than the sum of its proper divisors (766587488958).

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

460005432642 is a wasteful number, since it uses less digits than its factorization.

460005432642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626437 (or 626431 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 460005432642 in words is "four hundred sixty billion, five million, four hundred thirty-two thousand, six hundred forty-two".