490057400 has 96 divisors (see below), whose sum is σ = 1309440000. Its totient is φ = 167080320.

The previous prime is 490057387. The next prime is 490057409. The reversal of 490057400 is 4750094.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490057409) 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, 277721 + ... + 279479.

It is an arithmetic number, because the mean of its divisors is an integer number (13640000).

Almost surely, 2^490057400 is an apocalyptic number.

490057400 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 490057400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654720000).

490057400 is an abundant number, since it is smaller than the sum of its proper divisors (819382600).

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

490057400 is a wasteful number, since it uses less digits than its factorization.

490057400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 490057400 is about 22137.2401170516. The cubic root of 490057400 is about 788.4042992173.

The spelling of 490057400 in words is "four hundred ninety million, fifty-seven thousand, four hundred".