490819200 has 384 divisors, whose sum is σ = 1753012800. Its totient is φ = 120422400.

The previous prime is 490819183. The next prime is 490819213. The reversal of 490819200 is 2918094.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 11414379 + ... + 11414421.

Almost surely, 2^490819200 is an apocalyptic number.

490819200 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 490819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876506400).

490819200 is an abundant number, since it is smaller than the sum of its proper divisors (1262193600).

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

490819200 is a wasteful number, since it uses less digits than its factorization.

490819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 490819200 is about 22154.4397356376. The cubic root of 490819200 is about 788.8126156356.

The spelling of 490819200 in words is "four hundred ninety million, eight hundred nineteen thousand, two hundred".