490298400 has 144 divisors (see below), whose sum is σ = 1773324000. Its totient is φ = 130740480.

The previous prime is 490298399. The next prime is 490298461. The reversal of 490298400 is 4892094.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 10251 + ... + 32949.

It is an arithmetic number, because the mean of its divisors is an integer number (12314750).

Almost surely, 2^490298400 is an apocalyptic number.

490298400 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 490298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886662000).

490298400 is an abundant number, since it is smaller than the sum of its proper divisors (1283025600).

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

490298400 is a wasteful number, since it uses less digits than its factorization.

490298400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22728 (or 22709 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 490298400 is about 22142.6827642903. The cubic root of 490298400 is about 788.5335182963.

The spelling of 490298400 in words is "four hundred ninety million, two hundred ninety-eight thousand, four hundred".