490416 has 40 divisors (see below), whose sum is σ = 1343664. Its totient is φ = 153600.

The previous prime is 490393. The next prime is 490417. The reversal of 490416 is 614094.

490416 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 490416.

It is not an unprimeable number, because it can be changed into a prime (490417) by changing a digit.

490416 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, 516 + ... + 1116.

2⁴⁹⁰⁴¹⁶ 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 490416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671832).

490416 is an abundant number, since it is smaller than the sum of its proper divisors (853248).

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

490416 is a wasteful number, since it uses less digits than its factorization.

490416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 490416 is about 700.2970798168. The cubic root of 490416 is about 78.8596557545.

The spelling of 490416 in words is "four hundred ninety thousand, four hundred sixteen".