490784 has 36 divisors (see below), whose sum is σ = 1127574. Its totient is φ = 209664.

The previous prime is 490783. The next prime is 490829. The reversal of 490784 is 487094.

490784 = T₄₇ + T₄₈ + ... + T₁₄₄.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 490000 + 784 = 700^2 + 28^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 490784.

It is not an unprimeable number, because it can be changed into a prime (490783) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1412 + ... + 1724.

2⁴⁹⁰⁷⁸⁴ 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 490784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563787).

490784 is an abundant number, since it is smaller than the sum of its proper divisors (636790).

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

490784 is a wasteful number, since it uses less digits than its factorization.

490784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 490784 is about 700.5597761790. The cubic root of 490784 is about 78.8793758137.

The spelling of 490784 in words is "four hundred ninety thousand, seven hundred eighty-four".