496032012 has 168 divisors, whose sum is σ = 1566924800. Its totient is φ = 134159328.

The previous prime is 496031999. The next prime is 496032029. The reversal of 496032012 is 210230694.

496032012 is a `hidden beast` number, since 49 + 603 + 2 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 387189 + ... + 388467.

Almost surely, 2^496032012 is an apocalyptic number.

496032012 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 496032012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783462400).

496032012 is an abundant number, since it is smaller than the sum of its proper divisors (1070892788).

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

496032012 is a wasteful number, since it uses less digits than its factorization.

496032012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 496032012 is about 22271.7761303404. The cubic root of 496032012 is about 791.5953511431.

It can be divided in two parts, 49603 and 2012, that added together give a palindrome (51615).

The spelling of 496032012 in words is "four hundred ninety-six million, thirty-two thousand, twelve".