846480 has 40 divisors (see below), whose sum is σ = 2624832. Its totient is φ = 225664.

The previous prime is 846457. The next prime is 846487. The reversal of 846480 is 84648.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 846480.

It is not an unprimeable number, because it can be changed into a prime (846487) by changing a digit.

846480 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 7 ways as a sum of consecutive naturals, for example, 1524 + ... + 2003.

2⁸⁴⁶⁴⁸⁰ is an apocalyptic number.

846480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

846480 is an abundant number, since it is smaller than the sum of its proper divisors (1778352).

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

846480 is a wasteful number, since it uses less digits than its factorization.

846480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 846480 is about 920.0434772335. The cubic root of 846480 is about 94.5958826374.

It can be divided in two parts, 846 and 480, that added together give a triangular number (1326 = T₅₁).

The spelling of 846480 in words is "eight hundred forty-six thousand, four hundred eighty".