460005666600 has 384 divisors, whose sum is σ = 1492488581760. Its totient is φ = 117098741760.

The previous prime is 460005666541. The next prime is 460005666619. The reversal of 460005666600 is 6666500064.

It is a super-2 number, since 2×460005666600² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 482691724 + ... + 482692676.

It is an arithmetic number, because the mean of its divisors is an integer number (3886689015).

Almost surely, 2^460005666600 is an apocalyptic number.

460005666600 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 460005666600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746244290880).

460005666600 is an abundant number, since it is smaller than the sum of its proper divisors (1032482915160).

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

460005666600 is a wasteful number, since it uses less digits than its factorization.

460005666600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 460005666600 in words is "four hundred sixty billion, five million, six hundred sixty-six thousand, six hundred".