804480 has 64 divisors (see below), whose sum is σ = 2570400. Its totient is φ = 214016.

The previous prime is 804473. The next prime is 804493. The reversal of 804480 is 84408.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 804480.

It is a congruent number.

It is an unprimeable number.

804480 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, 1711 + ... + 2129.

2⁸⁰⁴⁴⁸⁰ is an apocalyptic number.

804480 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 804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285200).

804480 is an abundant number, since it is smaller than the sum of its proper divisors (1765920).

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

804480 is a wasteful number, since it uses less digits than its factorization.

804480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 804480 is about 896.9280907631. The cubic root of 804480 is about 93.0047401908.

Adding to 804480 its reverse (84408), we get a palindrome (888888).

It can be divided in two parts, 80 and 4480, that added together give a triangular number (4560 = T₉₅).

The spelling of 804480 in words is "eight hundred four thousand, four hundred eighty".