495840 has 48 divisors (see below), whose sum is σ = 1563408. Its totient is φ = 132096.

The previous prime is 495829. The next prime is 495851. The reversal of 495840 is 48594.

It is an interprime number because it is at equal distance from previous prime (495829) and next prime (495851).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 495798 and 495807.

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 495840.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37 + ... + 996.

It is an arithmetic number, because the mean of its divisors is an integer number (32571).

495840 is a Friedman number, since it can be written as 480*(9+4^5), using all its digits and the basic arithmetic operations.

2⁴⁹⁵⁸⁴⁰ is an apocalyptic number.

495840 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 495840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781704).

495840 is an abundant number, since it is smaller than the sum of its proper divisors (1067568).

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

495840 is a wasteful number, since it uses less digits than its factorization.

495840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 495840 is about 704.1590729374. The cubic root of 495840 is about 79.1493196834.

The spelling of 495840 in words is "four hundred ninety-five thousand, eight hundred forty".