460428258933 has 40 divisors (see below), whose sum is σ = 694808194080. Its totient is φ = 303826399200.

The previous prime is 460428258923. The next prime is 460428258949. The reversal of 460428258933 is 339852824064.

460428258933 is a `hidden beast` number, since 4 + 6 + 0 + 4 + 28 + 2 + 589 + 33 = 666.

It is not a de Polignac number, because 460428258933 - 2⁶ = 460428258869 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 460428258933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460428258923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42363966 + ... + 42374832.

It is an arithmetic number, because the mean of its divisors is an integer number (17370204852).

Almost surely, 2^460428258933 is an apocalyptic number.

It is an amenable number.

460428258933 is a deficient number, since it is larger than the sum of its proper divisors (234379935147).

460428258933 is a wasteful number, since it uses less digits than its factorization.

460428258933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16159 (or 16150 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 460428258933 in words is "four hundred sixty billion, four hundred twenty-eight million, two hundred fifty-eight thousand, nine hundred thirty-three".