490560000 has 400 divisors, whose sum is σ = 1891944384. Its totient is φ = 110592000.

The previous prime is 490559983. The next prime is 490560017. The reversal of 490560000 is 65094.

It is an interprime number because it is at equal distance from previous prime (490559983) and next prime (490560017).

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×490560000² = 481298227200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6719964 + ... + 6720036.

Almost surely, 2^490560000 is an apocalyptic number.

490560000 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 490560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945972192).

490560000 is an abundant number, since it is smaller than the sum of its proper divisors (1401384384).

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

490560000 is an frugal number, since it uses more digits than its factorization.

490560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 490560000 is about 22148.5891198514. The cubic root of 490560000 is about 788.6737347387.

The spelling of 490560000 in words is "four hundred ninety million, five hundred sixty thousand".