495600 has 120 divisors (see below), whose sum is σ = 1845120. Its totient is φ = 111360.

The previous prime is 495589. The next prime is 495611. The reversal of 495600 is 6594.

It is an interprime number because it is at equal distance from previous prime (495589) and next prime (495611).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 495600.

It is an unprimeable number.

495600 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, 8371 + ... + 8429.

It is an arithmetic number, because the mean of its divisors is an integer number (15376).

2⁴⁹⁵⁶⁰⁰ is an apocalyptic number.

495600 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 495600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922560).

495600 is an abundant number, since it is smaller than the sum of its proper divisors (1349520).

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

495600 is a wasteful number, since it uses less digits than its factorization.

495600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 495600 is about 703.9886362719. The cubic root of 495600 is about 79.1365474837.

The spelling of 495600 in words is "four hundred ninety-five thousand, six hundred".