490826649600 has 936 divisors, whose sum is σ = 2098078125120. Its totient is φ = 112157982720.

The previous prime is 490826649581. The next prime is 490826649611. The reversal of 490826649600 is 6946628094.

490826649600 is a `hidden beast` number, since 4 + 9 + 0 + 8 + 26 + 6 + 4 + 9 + 600 = 666.

It is a super-2 number, since 2×490826649600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 135473389 + ... + 135477011.

Almost surely, 2^490826649600 is an apocalyptic number.

490826649600 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 490826649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049039062560).

490826649600 is an abundant number, since it is smaller than the sum of its proper divisors (1607251475520).

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

490826649600 is a wasteful number, since it uses less digits than its factorization.

490826649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 490826649600 in words is "four hundred ninety billion, eight hundred twenty-six million, six hundred forty-nine thousand, six hundred".