496080 has 120 divisors (see below), whose sum is σ = 1828008. Its totient is φ = 119808.

The previous prime is 496079. The next prime is 496123. The reversal of 496080 is 80694.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 467856 = 168^2 + 684^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9334 + ... + 9386.

2⁴⁹⁶⁰⁸⁰ is an apocalyptic number.

496080 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 496080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914004).

496080 is an abundant number, since it is smaller than the sum of its proper divisors (1331928).

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

496080 is a wasteful number, since it uses less digits than its factorization.

496080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 76 counting only the distinct ones).

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

The square root of 496080 is about 704.3294683598. The cubic root of 496080 is about 79.1620877623.

The spelling of 496080 in words is "four hundred ninety-six thousand, eighty".