404784 has 40 divisors (see below), whose sum is σ = 1163120. Its totient is φ = 134784.

The previous prime is 404783. The next prime is 404819. The reversal of 404784 is 487404.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 404784.

It is not an unprimeable number, because it can be changed into a prime (404783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37 + ... + 900.

It is an arithmetic number, because the mean of its divisors is an integer number (29078).

2⁴⁰⁴⁷⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581560).

404784 is an abundant number, since it is smaller than the sum of its proper divisors (758336).

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

404784 is a wasteful number, since it uses less digits than its factorization.

404784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 404784 is about 636.2263748070. The cubic root of 404784 is about 73.9732067598.

The spelling of 404784 in words is "four hundred four thousand, seven hundred eighty-four".