490742064 has 100 divisors (see below), whose sum is σ = 1426520304. Its totient is φ = 162870912.

The previous prime is 490742039. The next prime is 490742069. The reversal of 490742064 is 460247094.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (490742069) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 358309 + ... + 359675.

Almost surely, 2^490742064 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 490742064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713260152).

490742064 is an abundant number, since it is smaller than the sum of its proper divisors (935778240).

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

490742064 is a wasteful number, since it uses less digits than its factorization.

490742064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 490742064 is about 22152.6987972120. The cubic root of 490742064 is about 788.7712908208.

It can be divided in two parts, 4907 and 42064, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 490742064 in words is "four hundred ninety million, seven hundred forty-two thousand, sixty-four".