490890400 has 288 divisors, whose sum is σ = 1611646848. Its totient is φ = 141004800.

The previous prime is 490890377. The next prime is 490890431. The reversal of 490890400 is 4098094.

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, 800494 + ... + 801106.

It is an arithmetic number, because the mean of its divisors is an integer number (5595996).

Almost surely, 2^490890400 is an apocalyptic number.

490890400 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 490890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805823424).

490890400 is an abundant number, since it is smaller than the sum of its proper divisors (1120756448).

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

490890400 is a wasteful number, since it uses less digits than its factorization.

490890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 490890400 is about 22156.0465787559. The cubic root of 490890400 is about 788.8507564573.

The spelling of 490890400 in words is "four hundred ninety million, eight hundred ninety thousand, four hundred".