496801 has 4 divisors (see below), whose sum is σ = 501552. Its totient is φ = 492052.

The previous prime is 496789. The next prime is 496813. The reversal of 496801 is 108694.

496801 = T₅₇₄ + T₅₇₅ + T₅₇₆.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 108694 = 2 ⋅54347.

It is an interprime number because it is at equal distance from previous prime (496789) and next prime (496813).

It is a cyclic number.

It is not a de Polignac number, because 496801 - 2⁹ = 496289 is a prime.

It is a super-2 number, since 2×496801² = 493622467202, which contains 22 as substring.

It is a Duffinian number.

496801 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 496801.

It is not an unprimeable number, because it can be changed into a prime (496841) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2215 + ... + 2428.

It is an arithmetic number, because the mean of its divisors is an integer number (125388).

2⁴⁹⁶⁸⁰¹ is an apocalyptic number.

496801 is the 576-th centered triangular number.

It is an amenable number.

496801 is a deficient number, since it is larger than the sum of its proper divisors (4751).

496801 is a wasteful number, since it uses less digits than its factorization.

496801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4750.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 496801 is about 704.8411168483. The cubic root of 496801 is about 79.2004204481.

The spelling of 496801 in words is "four hundred ninety-six thousand, eight hundred one".