490730400 has 180 divisors, whose sum is σ = 1789834662. Its totient is φ = 130844160.

The previous prime is 490730329. The next prime is 490730437. The reversal of 490730400 is 4037094.

It can be written as a sum of positive squares in 3 ways, for example, as 477509904 + 13220496 = 21852^2 + 3636^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 61014 + ... + 68586.

Almost surely, 2^490730400 is an apocalyptic number.

490730400 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 490730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894917331).

490730400 is an abundant number, since it is smaller than the sum of its proper divisors (1299104262).

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

490730400 is a wasteful number, since it uses less digits than its factorization.

490730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7605 (or 7583 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 490730400 is about 22152.4355320132. The cubic root of 490730400 is about 788.7650415765.

Adding to 490730400 its reverse (4037094), we get a palindrome (494767494).

The spelling of 490730400 in words is "four hundred ninety million, seven hundred thirty thousand, four hundred".