496960 has 28 divisors (see below), whose sum is σ = 1184148. Its totient is φ = 198656.

The previous prime is 496949. The next prime is 496963. The reversal of 496960 is 69694.

496960 = T₁₆ + T₁₇ + ... + T₁₄₃.

It can be written as a sum of positive squares in 2 ways, for example, as 107584 + 389376 = 328^2 + 624^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496963) by changing a digit.

496960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 457 + ... + 1096.

It is an arithmetic number, because the mean of its divisors is an integer number (42291).

2⁴⁹⁶⁹⁶⁰ is an apocalyptic number.

496960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

496960 is an abundant number, since it is smaller than the sum of its proper divisors (687188).

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

496960 is a wasteful number, since it uses less digits than its factorization.

496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 496960 is about 704.9538992019. The cubic root of 496960 is about 79.2088688500.

The spelling of 496960 in words is "four hundred ninety-six thousand, nine hundred sixty".