496000128 has 96 divisors (see below), whose sum is σ = 1426829040. Its totient is φ = 152595456.

The previous prime is 496000117. The next prime is 496000147. The reversal of 496000128 is 821000694.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×496000128² = 492032253952032768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 496000095 and 496000104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61075 + ... + 68717.

Almost surely, 2^496000128 is an apocalyptic number.

496000128 is a gapful number since it is divisible by the number (48) 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 496000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713414520).

496000128 is an abundant number, since it is smaller than the sum of its proper divisors (930828912).

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

496000128 is a wasteful number, since it uses less digits than its factorization.

496000128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7686 (or 7661 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 496000128 is about 22271.0603250047. The cubic root of 496000128 is about 791.5783900288.

The spelling of 496000128 in words is "four hundred ninety-six million, one hundred twenty-eight", and thus it is an aban number.