493045128 has 48 divisors (see below), whose sum is σ = 1371427980. Its totient is φ = 159905664.

The previous prime is 493045121. The next prime is 493045183. The reversal of 493045128 is 821540394.

493045128 is a `hidden beast` number, since 493 + 0 + 45 + 128 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 492041124 + 1004004 = 22182^2 + 1002^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 493045092 and 493045101.

It is not an unprimeable number, because it can be changed into a prime (493045121) 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 11 ways as a sum of consecutive naturals, for example, 89875 + ... + 95202.

Almost surely, 2^493045128 is an apocalyptic number.

It is an amenable number.

493045128 is an abundant number, since it is smaller than the sum of its proper divisors (878382852).

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

493045128 is a wasteful number, since it uses less digits than its factorization.

493045128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185126 (or 185119 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 493045128 is about 22204.6195193703. The cubic root of 493045128 is about 790.0032729662.

The spelling of 493045128 in words is "four hundred ninety-three million, forty-five thousand, one hundred twenty-eight".