840480 has 96 divisors (see below), whose sum is σ = 2830464. Its totient is φ = 208896.
The previous prime is 840479. The next prime is 840491. The reversal of 840480 is 84048.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a self number, because there is not a number n which added to its sum of digits gives 840480.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 840480.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8109 + ... + 8211.
It is an arithmetic number, because the mean of its divisors is an integer number (29484).
2840480 is an apocalyptic number.
840480 is a gapful number since it is divisible by the number (80) 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 840480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415232).
840480 is an abundant number, since it is smaller than the sum of its proper divisors (1989984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
840480 is a wasteful number, since it uses less digits than its factorization.
840480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 138 (or 130 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 24.
The square root of 840480 is about 916.7769630614. The cubic root of 840480 is about 94.3718483517.
Subtracting from 840480 its sum of digits (24), we obtain a triangular number (840456 = T1296).
The spelling of 840480 in words is "eight hundred forty thousand, four hundred eighty".
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