490535020800 has 1296 divisors, whose sum is σ = 2047573696896. Its totient is φ = 110837760000.

The previous prime is 490535020769. The next prime is 490535020813. The reversal of 490535020800 is 8020535094.

490535020800 is a `hidden beast` number, since 49 + 0 + 535 + 0 + 2 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 597484390 + ... + 597485210.

It is an arithmetic number, because the mean of its divisors is an integer number (1579917976).

Almost surely, 2^490535020800 is an apocalyptic number.

490535020800 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 490535020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023786848448).

490535020800 is an abundant number, since it is smaller than the sum of its proper divisors (1557038676096).

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

490535020800 is a wasteful number, since it uses less digits than its factorization.

490535020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 490535020800 its reverse (8020535094), we get a palindrome (498555555894).

The spelling of 490535020800 in words is "four hundred ninety billion, five hundred thirty-five million, twenty thousand, eight hundred".