491622400 has 78 divisors (see below), whose sum is σ = 1219328642. Its totient is φ = 196608000.

The previous prime is 491622379. The next prime is 491622409. The reversal of 491622400 is 4226194.

It can be written as a sum of positive squares in 3 ways, for example, as 40144896 + 451477504 = 6336^2 + 21248^2 .

It is not an unprimeable number, because it can be changed into a prime (491622409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100000 + ... + 104800.

Almost surely, 2^491622400 is an apocalyptic number.

491622400 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 491622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609664321).

491622400 is an abundant number, since it is smaller than the sum of its proper divisors (727706242).

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

491622400 is an equidigital number, since it uses as much as digits as its factorization.

491622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4835 (or 4808 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 491622400 is about 22172.5596176896. The cubic root of 491622400 is about 789.2426646931.

Adding to 491622400 its reverse (4226194), we get a palindrome (495848594).

The spelling of 491622400 in words is "four hundred ninety-one million, six hundred twenty-two thousand, four hundred".