495880 has 96 divisors (see below), whose sum is σ = 1477440. Its totient is φ = 147840.

The previous prime is 495877. The next prime is 495893. The reversal of 495880 is 88594.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21549 + ... + 21571.

It is an arithmetic number, because the mean of its divisors is an integer number (15390).

2⁴⁹⁵⁸⁸⁰ is an apocalyptic number.

495880 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 495880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738720).

495880 is an abundant number, since it is smaller than the sum of its proper divisors (981560).

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

495880 is a wasteful number, since it uses less digits than its factorization.

495880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 495880 is about 704.1874750377. The cubic root of 495880 is about 79.1514479826.

It can be divided in two parts, 495 and 880, that multiplied together give a square (435600 = 660²).

The spelling of 495880 in words is "four hundred ninety-five thousand, eight hundred eighty".