496800 has 144 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 126720.

The previous prime is 496789. The next prime is 496813. The reversal of 496800 is 8694.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

496800 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 23 ways as a sum of consecutive naturals, for example, 21589 + ... + 21611.

It is an arithmetic number, because the mean of its divisors is an integer number (13020).

2⁴⁹⁶⁸⁰⁰ is an apocalyptic number.

496800 is a gapful number since it is divisible by the number (40) 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 496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

496800 is an abundant number, since it is smaller than the sum of its proper divisors (1378080).

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

496800 is a wasteful number, since it uses less digits than its factorization.

496800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 496800 is about 704.8404074682. The cubic root of 496800 is about 79.2003673078.

It can be divided in two parts, 496 and 800, that added together give a 4-th power (1296 = 6⁴).

The spelling of 496800 in words is "four hundred ninety-six thousand, eight hundred".