490319000 has 64 divisors (see below), whose sum is σ = 1175428800. Its totient is φ = 191328000.

The previous prime is 490318987. The next prime is 490319003. The reversal of 490319000 is 913094.

It is a happy number.

It is a super-2 number, since 2×490319000² = 480825443522000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490319003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35021 + ... + 46979.

It is an arithmetic number, because the mean of its divisors is an integer number (18366075).

Almost surely, 2^490319000 is an apocalyptic number.

490319000 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 490319000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587714400).

490319000 is an abundant number, since it is smaller than the sum of its proper divisors (685109800).

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

490319000 is a wasteful number, since it uses less digits than its factorization.

490319000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12021 (or 12007 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 490319000 is about 22143.1479243580. The cubic root of 490319000 is about 788.5445616140.

The spelling of 490319000 in words is "four hundred ninety million, three hundred nineteen thousand".