460680192 has 264 divisors, whose sum is σ = 1569410336. Its totient is φ = 127401984.

The previous prime is 460680191. The next prime is 460680193. The reversal of 460680192 is 291086064.

460680192 is a `hidden beast` number, since 460 + 6 + 8 + 0 + 192 = 666.

It is an interprime number because it is at equal distance from previous prime (460680191) and next prime (460680193).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (460680191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2386848 + ... + 2387040.

Almost surely, 2^460680192 is an apocalyptic number.

460680192 is a gapful number since it is divisible by the number (42) 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 460680192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784705168).

460680192 is an abundant number, since it is smaller than the sum of its proper divisors (1108730144).

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

460680192 is a wasteful number, since it uses less digits than its factorization.

460680192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 460680192 is about 21463.4617897486. The cubic root of 460680192 is about 772.3245612848.

The spelling of 460680192 in words is "four hundred sixty million, six hundred eighty thousand, one hundred ninety-two".