490430400 has 168 divisors, whose sum is σ = 1629729024. Its totient is φ = 129100800.

The previous prime is 490430363. The next prime is 490430401. The reversal of 490430400 is 4034094.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490430401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397785 + ... + 399015.

It is an arithmetic number, because the mean of its divisors is an integer number (9700768).

Almost surely, 2^490430400 is an apocalyptic number.

490430400 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 490430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814864512).

490430400 is an abundant number, since it is smaller than the sum of its proper divisors (1139298624).

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

490430400 is a wasteful number, since it uses less digits than its factorization.

490430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 490430400 is about 22145.6632323351. The cubic root of 490430400 is about 788.6042759444.

Adding to 490430400 its reverse (4034094), we get a palindrome (494464494).

The spelling of 490430400 in words is "four hundred ninety million, four hundred thirty thousand, four hundred".