496560 has 40 divisors (see below), whose sum is σ = 1540080. Its totient is φ = 132352.

The previous prime is 496549. The next prime is 496579. The reversal of 496560 is 65694.

496560 = T₆₉ + T₇₀ + ... + T₁₄₈.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

496560 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 7 ways as a sum of consecutive naturals, for example, 795 + ... + 1274.

It is an arithmetic number, because the mean of its divisors is an integer number (38502).

2⁴⁹⁶⁵⁶⁰ is an apocalyptic number.

496560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

496560 is an abundant number, since it is smaller than the sum of its proper divisors (1043520).

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

496560 is a wasteful number, since it uses less digits than its factorization.

496560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 496560 is about 704.6701355954. The cubic root of 496560 is about 79.1876115711.

The spelling of 496560 in words is "four hundred ninety-six thousand, five hundred sixty".