490291200 has 540 divisors, whose sum is σ = 2112816160. Its totient is φ = 106168320.

The previous prime is 490291199. The next prime is 490291201. The reversal of 490291200 is 2192094.

It is an interprime number because it is at equal distance from previous prime (490291199) and next prime (490291201).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490291201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25804791 + ... + 25804809.

Almost surely, 2^490291200 is an apocalyptic number.

490291200 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 490291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056408080).

490291200 is an abundant number, since it is smaller than the sum of its proper divisors (1622524960).

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

490291200 is a wasteful number, since it uses less digits than its factorization.

490291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 490291200 is about 22142.5201817679. The cubic root of 490291200 is about 788.5296584230.

The spelling of 490291200 in words is "four hundred ninety million, two hundred ninety-one thousand, two hundred".