490594600 has 72 divisors (see below), whose sum is σ = 1192638510. Its totient is φ = 187665280.

The previous prime is 490594597. The next prime is 490594603. The reversal of 490594600 is 6495094.

It is an interprime number because it is at equal distance from previous prime (490594597) and next prime (490594603).

It can be written as a sum of positive squares in 3 ways, for example, as 303944356 + 186650244 = 17434^2 + 13662^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 490594600.

It is not an unprimeable number, because it can be changed into a prime (490594603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103482 + ... + 108118.

Almost surely, 2^490594600 is an apocalyptic number.

490594600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490594600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596319255).

490594600 is an abundant number, since it is smaller than the sum of its proper divisors (702043910).

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

490594600 is a wasteful number, since it uses less digits than its factorization.

490594600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4699 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 490594600 is about 22149.3701942064. The cubic root of 490594600 is about 788.6922764528.

It can be divided in two parts, 490594 and 600, that added together give a palindrome (491194).

The spelling of 490594600 in words is "four hundred ninety million, five hundred ninety-four thousand, six hundred".