490152064 has 32 divisors (see below), whose sum is σ = 981583740. Its totient is φ = 243793920.

The previous prime is 490152037. The next prime is 490152071. The reversal of 490152064 is 460251094.

It can be written as a sum of positive squares in 2 ways, for example, as 384473664 + 105678400 = 19608^2 + 10280^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14784 + ... + 34624.

Almost surely, 2^490152064 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 490152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490791870).

490152064 is an abundant number, since it is smaller than the sum of its proper divisors (491431676).

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

490152064 is a wasteful number, since it uses less digits than its factorization.

490152064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20048 (or 20036 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 490152064 is about 22139.3781303812. The cubic root of 490152064 is about 788.4550610937.

It can be divided in two parts, 4901 and 52064, that added together give a palindrome (56965).

The spelling of 490152064 in words is "four hundred ninety million, one hundred fifty-two thousand, sixty-four".