490448406 has 64 divisors (see below), whose sum is σ = 1220774400. Its totient is φ = 128169216.

The previous prime is 490448381. The next prime is 490448407. The reversal of 490448406 is 604844094.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490448407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12546 + ... + 33738.

It is an arithmetic number, because the mean of its divisors is an integer number (19074600).

Almost surely, 2^490448406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490448406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610387200).

490448406 is an abundant number, since it is smaller than the sum of its proper divisors (730325994).

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

490448406 is a wasteful number, since it uses less digits than its factorization.

490448406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21253.

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 490448406 is about 22146.0697641816. The cubic root of 490448406 is about 788.6139269468.

The spelling of 490448406 in words is "four hundred ninety million, four hundred forty-eight thousand, four hundred six".