496512 has 48 divisors (see below), whose sum is σ = 1432080. Its totient is φ = 165120.

The previous prime is 496511. The next prime is 496549. The reversal of 496512 is 215694.

496512 is a `hidden beast` number, since 4 + 9 + 651 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×496512² = 493048332288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496511) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 937 + ... + 1367.

It is an arithmetic number, because the mean of its divisors is an integer number (29835).

2⁴⁹⁶⁵¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716040).

496512 is an abundant number, since it is smaller than the sum of its proper divisors (935568).

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

496512 is a wasteful number, since it uses less digits than its factorization.

496512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 436 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 496512 is about 704.6360762834. The cubic root of 496512 is about 79.1850599306.

It can be divided in two parts, 49 and 6512, that added together give a 8-th power (6561 = 3⁸).

The spelling of 496512 in words is "four hundred ninety-six thousand, five hundred twelve".